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1220121010120 = 235297314408609
BaseRepresentation
bin10001110000010100111…
…000010001111111001000
311022122100022221022220111
4101300110320101333020
5124442301434310440
62332303231404104
7154102510316065
oct21602470217710
94278308838814
101220121010120
114304a5557881
12178574083634
138b09808125c
14430a890dc6c
1521b113ab4ea
hex11c14e11fc8

1220121010120 has 64 divisors (see below), whose sum is σ = 2878840278000. Its totient is φ = 464764059648.

The previous prime is 1220121010081. The next prime is 1220121010181. The reversal of 1220121010120 is 210101210221.

It can be written as a sum of positive squares in 8 ways, for example, as 908594052804 + 311526957316 = 953202^2 + 558146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1220121010120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7119625 + ... + 7288984.

Almost surely, 21220121010120 is an apocalyptic number.

1220121010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220121010120 is an abundant number, since it is smaller than the sum of its proper divisors (1658719267880).

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

1220121010120 is a wasteful number, since it uses less digits than its factorization.

1220121010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14408722 (or 14408718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1220121010120 its reverse (210101210221), we get a palindrome (1430222220341).

The spelling of 1220121010120 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 73 116 145 146 232 290 292 365 580 584 730 1160 1460 2117 2920 4234 8468 10585 16936 21170 42340 84680 14408609 28817218 57634436 72043045 115268872 144086090 288172180 417849661 576344360 835699322 1051828457 1671398644 2089248305 2103656914 3342797288 4178496610 4207313828 5259142285 8356993220 8414627656 10518284570 16713986440 21036569140 30503025253 42073138280 61006050506 122012101012 152515126265 244024202024 305030252530 610060505060 1220121010120