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122100201020112 = 2437379821444741
BaseRepresentation
bin11011110000110010101011…
…000110111101101011010000
3121000022122221221112002220120
4123300302223012331223100
5112000442202430120422
61111404020305310240
734501306543254210
oct3360625306755320
9530278857462816
10122100201020112
11359a544a36a517
121183ba06335380
135318ccc024193
14222197754a240
15e1b18e32945c
hex6f0cab1bdad0

122100201020112 has 80 divisors (see below), whose sum is σ = 370229180994432. Its totient is φ = 33942913021440.

The previous prime is 122100201020093. The next prime is 122100201020123. The reversal of 122100201020112 is 211020102001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100201020091 and 122100201020100.

It is a congruent number.

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, 4910709939 + ... + 4910734802.

Almost surely, 2122100201020112 is an apocalyptic number.

122100201020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100201020112 is an abundant number, since it is smaller than the sum of its proper divisors (248128979974320).

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

122100201020112 is a wasteful number, since it uses less digits than its factorization.

122100201020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821444796 (or 9821444790 counting only the distinct ones).

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

Adding to 122100201020112 its reverse (211020102001221), we get a palindrome (333120303021333).

The spelling of 122100201020112 in words is "one hundred twenty-two trillion, one hundred billion, two hundred one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 9821444741 19642889482 29464334223 39285778964 58928668446 68750113187 78571557928 117857336892 137500226374 157143115856 206250339561 235714673784 275000452748 363393455417 412500679122 471429347568 550000905496 726786910834 825001358244 1090180366251 1100001810992 1453573821668 1650002716488 2180360732502 2543754187919 2907147643336 3300005432976 4360721465004 5087508375838 5814295286672 7631262563757 8721442930008 10175016751676 15262525127514 17442885860016 20350033503352 30525050255028 40700067006704 61050100510056 122100201020112