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210122121120 = 25352153203323
BaseRepresentation
bin1100001110110001000…
…0010001111110100000
3202002100202211201022020
43003230100101332200
511420312230333440
6240310114141440
721116010363132
oct3035420217640
9662322751266
10210122121120
118112650665a
1234881581880
1316a783c6b62
14a254553052
1556ebe063d0
hex30ec411fa0

210122121120 has 96 divisors (see below), whose sum is σ = 662195362752. Its totient is φ = 56006264832.

The previous prime is 210122121113. The next prime is 210122121127. The reversal of 210122121120 is 21121221012.

It is an interprime number because it is at equal distance from previous prime (210122121113) and next prime (210122121127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210122121120.

It is not an unprimeable number, because it can be changed into a prime (210122121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931779 + ... + 1135101.

It is an arithmetic number, because the mean of its divisors is an integer number (6897868362).

Almost surely, 2210122121120 is an apocalyptic number.

210122121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122121120 is an abundant number, since it is smaller than the sum of its proper divisors (452073241632).

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

210122121120 is a wasteful number, since it uses less digits than its factorization.

210122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205494 (or 205486 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210122121120 its reverse (21121221012), we get a palindrome (231243342132).

The spelling of 210122121120 in words is "two hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2153 4306 6459 8612 10765 12918 17224 21530 25836 32295 34448 43060 51672 64590 68896 86120 103344 129180 172240 203323 206688 258360 344480 406646 516720 609969 813292 1016615 1033440 1219938 1626584 2033230 2439876 3049845 3253168 4066460 4879752 6099690 6506336 8132920 9759504 12199380 16265840 19519008 24398760 32531680 48797520 97595040 437754419 875508838 1313263257 1751017676 2188772095 2626526514 3502035352 4377544190 5253053028 6566316285 7004070704 8755088380 10506106056 13132632570 14008141408 17510176760 21012212112 26265265140 35020353520 42024424224 52530530280 70040707040 105061060560 210122121120