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122220011000112 = 24323613180597931
BaseRepresentation
bin11011110010100010010000…
…010101110001000100110000
3121000202010012201010200222020
4123302202100111301010300
5112004423040304000422
61111535033053111440
734513050544266354
oct3362422025610460
9530663181120866
10122220011000112
1135a41240a38813
121185b082488580
1353273b3a3997c
1422276a154b464
15e1e35279795c
hex6f2890571130

122220011000112 has 80 divisors (see below), whose sum is σ = 330000099618048. Its totient is φ = 38905128472320.

The previous prime is 122220011000111. The next prime is 122220011000137. The reversal of 122220011000112 is 211000110022221.

It is a junction number, because it is equal to n+sod(n) for n = 122220011000091 and 122220011000100.

It is not an unprimeable number, because it can be changed into a prime (122220011000111) by changing a digit.

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, 89622214 + ... + 90975717.

Almost surely, 2122220011000112 is an apocalyptic number.

122220011000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122220011000112 is an abundant number, since it is smaller than the sum of its proper divisors (207780088617936).

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

122220011000112 is a wasteful number, since it uses less digits than its factorization.

122220011000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180598578 (or 180598572 counting only the distinct ones).

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

Adding to 122220011000112 its reverse (211000110022221), we get a palindrome (333220121022333).

The spelling of 122220011000112 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 613 1104 1226 1839 2452 3678 4904 7356 9808 14099 14712 28198 29424 42297 56396 84594 112792 169188 225584 338376 676752 180597931 361195862 541793793 722391724 1083587586 1444783448 2167175172 2889566896 4153752413 4334350344 8307504826 8668700688 12461257239 16615009652 24922514478 33230019304 49845028956 66460038608 99690057912 110706531703 199380115824 221413063406 332119595109 442826126812 664239190218 885652253624 1328478380436 1771304507248 2546250229169 2656956760872 5092500458338 5313913521744 7638750687507 10185000916676 15277501375014 20370001833352 30555002750028 40740003666704 61110005500056 122220011000112