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1213012020 = 22351131101587
BaseRepresentation
bin100100001001101…
…0001100000110100
310010112111101200010
41020103101200310
54441012341040
6320211020220
742026301123
oct11023214064
93115441603
101213012020
11572793980
1229a29a670
131643cbcbc
14b7159aba
157175ae80
hex484d1834

1213012020 has 192 divisors, whose sum is σ = 3869171712. Its totient is φ = 281280000.

The previous prime is 1213012013. The next prime is 1213012037. The reversal of 1213012020 is 202103121.

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 = 1213011987 and 1213012005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2066167 + ... + 2066753.

It is an arithmetic number, because the mean of its divisors is an integer number (20151936).

Almost surely, 21213012020 is an apocalyptic number.

1213012020 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 1213012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934585856).

1213012020 is an abundant number, since it is smaller than the sum of its proper divisors (2656159692).

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

1213012020 is a wasteful number, since it uses less digits than its factorization.

1213012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1213012020 is about 34828.3220956738. The cubic root of 1213012020 is about 1066.4856956436.

Adding to 1213012020 its reverse (202103121), we get a palindrome (1415115141).

It can be divided in two parts, 121301 and 2020, that added together give a palindrome (123321).

The spelling of 1213012020 in words is "one billion, two hundred thirteen million, twelve thousand, twenty".