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1211220110112 = 25319798405647
BaseRepresentation
bin10001101000000010010…
…110000010101100100000
311021210101000022202112020
4101220002112002230200
5124321034322010422
62324232110301440
7153336110031225
oct21500226025440
94253330282466
101211220110112
114277481a2971
121768ab1b7880
138a2a9cbac0c
14428a273394c
152178ec5795c
hex11a02582b20

1211220110112 has 96 divisors (see below), whose sum is σ = 3389157273600. Its totient is φ = 377648863488.

The previous prime is 1211220110069. The next prime is 1211220110129. The reversal of 1211220110112 is 2110110221121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1211220110091 and 1211220110100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4058728 + ... + 4346919.

It is an arithmetic number, because the mean of its divisors is an integer number (35303721600).

Almost surely, 21211220110112 is an apocalyptic number.

1211220110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1211220110112 is an abundant number, since it is smaller than the sum of its proper divisors (2177937163488).

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

1211220110112 is a wasteful number, since it uses less digits than its factorization.

1211220110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405758 (or 8405750 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1211220110112 its reverse (2110110221121), we get a palindrome (3321330331233).

The spelling of 1211220110112 in words is "one trillion, two hundred eleven billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 79 96 114 152 158 228 237 304 316 456 474 608 632 912 948 1264 1501 1824 1896 2528 3002 3792 4503 6004 7584 9006 12008 18012 24016 36024 48032 72048 144096 8405647 16811294 25216941 33622588 50433882 67245176 100867764 134490352 159707293 201735528 268980704 319414586 403471056 479121879 638829172 664046113 806942112 958243758 1277658344 1328092226 1916487516 1992138339 2555316688 2656184452 3832975032 3984276678 5110633376 5312368904 7665950064 7968553356 10624737808 12616876147 15331900128 15937106712 21249475616 25233752294 31874213424 37850628441 50467504588 63748426848 75701256882 100935009176 151402513764 201870018352 302805027528 403740036704 605610055056 1211220110112