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1210121120 = 25513244753
BaseRepresentation
bin100100000100000…
…1111101110100000
310010100001112002202
41020020033232200
54434242333440
6320025032332
741662600625
oct11010175640
93110045082
101210121120
115710999aa
122993256a8
13163929200
14b6a0634c
1571389615
hex4820fba0

1210121120 has 72 divisors (see below), whose sum is σ = 3095813196. Its totient is φ = 446803968.

The previous prime is 1210121117. The next prime is 1210121197. The reversal of 1210121120 is 211210121.

It can be written as a sum of positive squares in 6 ways, for example, as 68492176 + 1141628944 = 8276^2 + 33788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4664 + ... + 49416.

Almost surely, 21210121120 is an apocalyptic number.

1210121120 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 1210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547906598).

1210121120 is an abundant number, since it is smaller than the sum of its proper divisors (1885692076).

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

1210121120 is a wasteful number, since it uses less digits than its factorization.

1210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44794 (or 44773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1210121120 is about 34786.7951958786. The cubic root of 1210121120 is about 1065.6377908814.

Adding to 1210121120 its reverse (211210121), we get a palindrome (1421331241).

The spelling of 1210121120 in words is "one billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 44753 89506 179012 223765 358024 447530 581789 716048 895060 1163578 1432096 1790120 2327156 2908945 3580240 4654312 5817890 7160480 7563257 9308624 11635780 15126514 18617248 23271560 30253028 37816285 46543120 60506056 75632570 93086240 121012112 151265140 242024224 302530280 605060560 1210121120