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122700115560 = 2335115312831367
BaseRepresentation
bin111001001000101111…
…1110010111001101000
3102201201011220200201110
41302101133302321220
54002242212144220
6132211225150320
711602423526301
oct1622137627150
9381634820643
10122700115560
114804501a990
121b94402b3a0
13b755711599
145d1dba97a8
1532d205ebe0
hex1c917f2e68

122700115560 has 256 divisors, whose sum is σ = 409759119360. Its totient is φ = 29140167680.

The previous prime is 122700115519. The next prime is 122700115607. The reversal of 122700115560 is 65511007221.

It is a super-2 number, since 2×1227001155602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89757997 + ... + 89759363.

It is an arithmetic number, because the mean of its divisors is an integer number (1600621560).

Almost surely, 2122700115560 is an apocalyptic number.

122700115560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122700115560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204879559680).

122700115560 is an abundant number, since it is smaller than the sum of its proper divisors (287059003800).

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

122700115560 is a wasteful number, since it uses less digits than its factorization.

122700115560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 122700115560 in words is "one hundred twenty-two billion, seven hundred million, one hundred fifteen thousand, five hundred sixty".