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122620992 = 2631323779
BaseRepresentation
bin1110100111100…
…00110001000000
322112201210101020
413103300301000
5222342332432
620100105440
73016155414
oct723606100
9275653336
10122620992
1163241a6a
1235095280
131c533c00
14123dcd44
15ab7222c
hex74f0c40

122620992 has 84 divisors (see below), whose sum is σ = 351403920. Its totient is φ = 37719552.

The previous prime is 122620991. The next prime is 122621033. The reversal of 122620992 is 299026221.

It is not an unprimeable number, because it can be changed into a prime (122620991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30559 + ... + 34337.

It is an arithmetic number, because the mean of its divisors is an integer number (4183380).

Almost surely, 2122620992 is an apocalyptic number.

122620992 is a gapful number since it is divisible by the number (12) 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 122620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175701960).

122620992 is an abundant number, since it is smaller than the sum of its proper divisors (228782928).

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

122620992 is a wasteful number, since it uses less digits than its factorization.

122620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 122620992 is about 11073.4363230210. The cubic root of 122620992 is about 496.8076505210.

The spelling of 122620992 in words is "one hundred twenty-two million, six hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 3779 4056 5408 7558 8112 10816 11337 15116 16224 22674 30232 32448 45348 49127 60464 90696 98254 120928 147381 181392 196508 241856 294762 362784 393016 589524 638651 725568 786032 1179048 1277302 1572064 1915953 2358096 2554604 3144128 3831906 4716192 5109208 7663812 9432384 10218416 15327624 20436832 30655248 40873664 61310496 122620992