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21001122012120 = 23351710294667653
BaseRepresentation
bin1001100011001101101000…
…11010101101101111011000
32202100200120022011001102020
410301212310122231233120
510223040244213341440
6112355440545134440
74265165244513165
oct461466432555730
982320508131366
1021001122012120
116767586972278
1224321a932a420
13b94521b69473
145286616d306c
15266449d803d0
hex1319b46adbd8

21001122012120 has 64 divisors (see below), whose sum is σ = 66709446397920. Its totient is φ = 5270869837824.

The previous prime is 21001122012109. The next prime is 21001122012121. The reversal of 21001122012120 is 2121022110012.

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 21001122012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001122012121) 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, 5147331787 + ... + 5147335866.

Almost surely, 221001122012120 is an apocalyptic number.

21001122012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001122012120 is an abundant number, since it is smaller than the sum of its proper divisors (45708324385800).

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

21001122012120 is a wasteful number, since it uses less digits than its factorization.

21001122012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10294667684 (or 10294667680 counting only the distinct ones).

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

Adding to 21001122012120 its reverse (2121022110012), we get a palindrome (23122144122132).

The spelling of 21001122012120 in words is "twenty-one trillion, one billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 10294667653 20589335306 30884002959 41178670612 51473338265 61768005918 82357341224 102946676530 123536011836 154420014795 175009350101 205893353060 247072023672 308840029590 350018700202 411786706120 525028050303 617680059180 700037400404 875046750505 1050056100606 1235360118360 1400074800808 1750093501010 2100112201212 2625140251515 3500187002020 4200224402424 5250280503030 7000374004040 10500561006060 21001122012120