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1221112020 = 223541212107
BaseRepresentation
bin100100011001000…
…1011000011010100
310011002201220210010
41020302023003110
510000101041040
6321100400220
742155165232
oct11062130324
93132656703
101221112020
11577316597
122a0b46070
13165ca6abb
14b8267952
157230ae80
hex48c8b0d4

1221112020 has 72 divisors (see below), whose sum is σ = 3504830112. Its totient is φ = 317661440.

The previous prime is 1221112003. The next prime is 1221112069. The reversal of 1221112020 is 202111221.

It is a super-2 number, since 2×12211120202 = 2982229130776960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1221111987 and 1221112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94807 + ... + 106913.

It is an arithmetic number, because the mean of its divisors is an integer number (48678196).

Almost surely, 21221112020 is an apocalyptic number.

1221112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752415056).

1221112020 is an abundant number, since it is smaller than the sum of its proper divisors (2283718092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221112020 is a wasteful number, since it uses less digits than its factorization.

1221112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201 (or 12158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1221112020 is about 34944.4132873912. The cubic root of 1221112020 is about 1068.8542835898.

Adding to 1221112020 its reverse (202111221), we get a palindrome (1423223241).

The spelling of 1221112020 in words is "one billion, two hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1681 2460 3362 5043 6724 8405 10086 12107 16810 20172 24214 25215 33620 36321 48428 50430 60535 72642 100860 121070 145284 181605 242140 363210 496387 726420 992774 1489161 1985548 2481935 2978322 4963870 5956644 7445805 9927740 14891610 20351867 29783220 40703734 61055601 81407468 101759335 122111202 203518670 244222404 305278005 407037340 610556010 1221112020