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122325920 = 2556711411
BaseRepresentation
bin1110100101010…
…00101110100000
322112011210121122
413102220232200
5222303412140
620045511412
73013516223
oct722505640
9275153548
10122325920
1163060302
1234b72568
131c45c802
14123635ba
15ab14ab5
hex74a8ba0

122325920 has 48 divisors (see below), whose sum is σ = 293334048. Its totient is φ = 48195840.

The previous prime is 122325911. The next prime is 122325947. The reversal of 122325920 is 29523221.

It is a self number, because there is not a number n which added to its sum of digits gives 122325920.

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, 5015 + ... + 16425.

It is an arithmetic number, because the mean of its divisors is an integer number (6111126).

Almost surely, 2122325920 is an apocalyptic number.

122325920 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 122325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146667024).

122325920 is an abundant number, since it is smaller than the sum of its proper divisors (171008128).

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

122325920 is a wasteful number, since it uses less digits than its factorization.

122325920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11493 (or 11485 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 122325920 is about 11060.1048819620. The cubic root of 122325920 is about 496.4088287292.

The spelling of 122325920 in words is "one hundred twenty-two million, three hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 5360 10720 11411 22822 45644 57055 91288 114110 182576 228220 365152 456440 764537 912880 1529074 1825760 3058148 3822685 6116296 7645370 12232592 15290740 24465184 30581480 61162960 122325920