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122116561560 = 233257232106911
BaseRepresentation
bin111000110111010110…
…1101101101010011000
3102200012111212002010100
41301232231231222120
54000043314432220
6132033301415400
711552106434550
oct1615655555230
9380174762110
10122116561560
1147875685154
121b80070a560
13b691853566
145ca64a4160
15329abded90
hex1c6eb6da98

122116561560 has 192 divisors, whose sum is σ = 473296711680. Its totient is φ = 26698763520.

The previous prime is 122116561547. The next prime is 122116561573. The reversal of 122116561560 is 65165611221.

122116561560 is a `hidden beast` number, since 1 + 2 + 21 + 16 + 5 + 61 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (122116561547) and next prime (122116561573).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995496 + ... + 1111415.

It is an arithmetic number, because the mean of its divisors is an integer number (2465087040).

Almost surely, 2122116561560 is an apocalyptic number.

122116561560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122116561560 is an abundant number, since it is smaller than the sum of its proper divisors (351180150120).

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

122116561560 is a wasteful number, since it uses less digits than its factorization.

122116561560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106958 (or 2106951 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 122116561560 in words is "one hundred twenty-two billion, one hundred sixteen million, five hundred sixty-one thousand, five hundred sixty".