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20012001012120 = 23351312828205777
BaseRepresentation
bin1001000110011011010000…
…01101100010100110011000
32121212010110202111002101010
410203031220031202212120
510110334034224341440
6110321215241253520
74133551016652255
oct443155015424630
977763422432333
1020012001012120
116416050950077
1222b25627942a0
13b2217b711140
144d282c06042c
1524a858756580
hex123368362998

20012001012120 has 64 divisors (see below), whose sum is σ = 64654157121120. Its totient is φ = 4926031017984.

The previous prime is 20012001012079. The next prime is 20012001012139. The reversal of 20012001012120 is 2121010021002.

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 = 20012001012096 and 20012001012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414101329 + ... + 6414104448.

Almost surely, 220012001012120 is an apocalyptic number.

20012001012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012001012120 is an abundant number, since it is smaller than the sum of its proper divisors (44642156109000).

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

20012001012120 is a wasteful number, since it uses less digits than its factorization.

20012001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828205804 (or 12828205800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20012001012120 its reverse (2121010021002), we get a palindrome (22133011033122).

The spelling of 20012001012120 in words is "twenty trillion, twelve billion, one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 12828205777 25656411554 38484617331 51312823108 64141028885 76969234662 102625646216 128282057770 153938469324 166766675101 192423086655 256564115540 307876938648 333533350202 384846173310 500300025303 513128231080 667066700404 769692346620 833833375505 1000600050606 1334133400808 1539384693240 1667666751010 2001200101212 2501500126515 3335333502020 4002400202424 5003000253030 6670667004040 10006000506060 20012001012120