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20120312012100 = 22352409163979723
BaseRepresentation
bin1001001001100101000000…
…00011001101110101000100
32122020111001010201222021220
410210302200003031311010
510114122344333341400
6110443051014040340
74144434042163356
oct444624003156504
978214033658256
1020120312012100
116457a816604a3
12230b54b9490b0
13b2c450013541
144d7b84bc30d6
1524d59741e7a0
hex124ca00cdd44

20120312012100 has 72 divisors (see below), whose sum is σ = 58357104177120. Its totient is φ = 5352298126080.

The previous prime is 20120312012093. The next prime is 20120312012137. The reversal of 20120312012100 is 121021302102.

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 20120312012100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81867162 + ... + 82112561.

Almost surely, 220120312012100 is an apocalyptic number.

20120312012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120312012100 is an abundant number, since it is smaller than the sum of its proper divisors (38236792165020).

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

20120312012100 is a wasteful number, since it uses less digits than its factorization.

20120312012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163980149 (or 163980142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20120312012100 its reverse (121021302102), we get a palindrome (20241333314202).

The spelling of 20120312012100 in words is "twenty trillion, one hundred twenty billion, three hundred twelve million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 409 818 1227 1636 2045 2454 4090 4908 6135 8180 10225 12270 20450 24540 30675 40900 61350 122700 163979723 327959446 491939169 655918892 819898615 983878338 1639797230 1967756676 2459695845 3279594460 4099493075 4919391690 8198986150 9838783380 12298479225 16397972300 24596958450 49193916900 67067706707 134135413414 201203120121 268270826828 335338533535 402406240242 670677067070 804812480484 1006015600605 1341354134140 1676692667675 2012031201210 3353385335350 4024062402420 5030078003025 6706770670700 10060156006050 20120312012100