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121116426144 = 2537180232777
BaseRepresentation
bin111000011001100011…
…0011111111110100000
3102120121210220221020220
41300303012133332200
53441021301114034
6131350133203040
711515243431060
oct1606306377640
9376553827226
10121116426144
114740207965a
121b581790480
13b56259985c
145c0d71d3a0
15323ced3749
hex1c3319ffa0

121116426144 has 48 divisors (see below), whose sum is σ = 363349280448. Its totient is φ = 34604692992.

The previous prime is 121116426131. The next prime is 121116426161. The reversal of 121116426144 is 441624611121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90115717 + ... + 90117060.

It is an arithmetic number, because the mean of its divisors is an integer number (7569776676).

Almost surely, 2121116426144 is an apocalyptic number.

121116426144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121116426144 is an abundant number, since it is smaller than the sum of its proper divisors (242232854304).

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

121116426144 is a wasteful number, since it uses less digits than its factorization.

121116426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180232797 (or 180232789 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The spelling of 121116426144 in words is "one hundred twenty-one billion, one hundred sixteen million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 180232777 360465554 540698331 720931108 1081396662 1261629439 1441862216 2162793324 2523258878 2883724432 3784888317 4325586648 5046517756 5767448864 7569776634 8651173296 10093035512 15139553268 17302346592 20186071024 30279106536 40372142048 60558213072 121116426144