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122320920 = 23352114831
BaseRepresentation
bin1110100101001…
…11100000011000
322112011112202110
413102213200120
5222303232140
620045432320
73013465521
oct722474030
9275145673
10122320920
1163057577
1234b6b6a0
131c45a457
1412361848
15ab13380
hex74a7818

122320920 has 64 divisors (see below), whose sum is σ = 368778240. Its totient is φ = 32457600.

The previous prime is 122320907. The next prime is 122320937. The reversal of 122320920 is 29023221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22905 + ... + 27735.

It is an arithmetic number, because the mean of its divisors is an integer number (5762160).

Almost surely, 2122320920 is an apocalyptic number.

122320920 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 122320920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184389120).

122320920 is an abundant number, since it is smaller than the sum of its proper divisors (246457320).

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

122320920 is a wasteful number, since it uses less digits than its factorization.

122320920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 122320920 is about 11059.8788420127. The cubic root of 122320920 is about 496.4020651642.

The spelling of 122320920 in words is "one hundred twenty-two million, three hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1688 2110 2532 3165 4220 4831 5064 6330 8440 9662 12660 14493 19324 24155 25320 28986 38648 48310 57972 72465 96620 115944 144930 193240 289860 579720 1019341 2038682 3058023 4077364 5096705 6116046 8154728 10193410 12232092 15290115 20386820 24464184 30580230 40773640 61160460 122320920