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122020032 = 263718951
BaseRepresentation
bin1110100010111…
…10000011000000
322111121021000110
413101132003000
5222214120112
620035151320
73011103351
oct721360300
9274537013
10122020032
1162971502
1234a45540
131c383504
14122c3d28
15aaa413c
hex745e0c0

122020032 has 56 divisors (see below), whose sum is σ = 327428352. Its totient is φ = 40096000.

The previous prime is 122020001. The next prime is 122020051. The reversal of 122020032 is 230020221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9157 + ... + 18107.

Almost surely, 2122020032 is an apocalyptic number.

122020032 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 122020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163714176).

122020032 is an abundant number, since it is smaller than the sum of its proper divisors (205408320).

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

122020032 is an equidigital number, since it uses as much as digits as its factorization.

122020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 122020032 is about 11046.2677859990. The cubic root of 122020032 is about 495.9947103147.

Adding to 122020032 its reverse (230020221), we get a palindrome (352040253).

The spelling of 122020032 in words is "one hundred twenty-two million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 8951 13632 17902 26853 35804 53706 71608 107412 143216 214824 286432 429648 572864 635521 859296 1271042 1718592 1906563 2542084 3813126 5084168 7626252 10168336 15252504 20336672 30505008 40673344 61010016 122020032