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122020192 = 257311117
BaseRepresentation
bin1110100010111…
…10000101100000
322111121021020101
413101132011200
5222214121232
620035152144
73011104000
oct721360540
9274537211
10122020192
1162971638
1234a45654
131c3835c8
14122c4000
15aaa41e7
hex745e160

122020192 has 48 divisors (see below), whose sum is σ = 280173600. Its totient is φ = 52289664.

The previous prime is 122020153. The next prime is 122020193. The reversal of 122020192 is 291020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5418 + ... + 16534.

It is an arithmetic number, because the mean of its divisors is an integer number (5836950).

Almost surely, 2122020192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140086800).

122020192 is an abundant number, since it is smaller than the sum of its proper divisors (158153408).

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

122020192 is an equidigital number, since it uses as much as digits as its factorization.

122020192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 122020192 is about 11046.2750282618. The cubic root of 122020192 is about 495.9949271073.

It can be divided in two parts, 1220 and 20192, that added together give a palindrome (21412).

The spelling of 122020192 in words is "one hundred twenty-two million, twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 11117 22234 44468 77819 88936 155638 177872 311276 355744 544733 622552 1089466 1245104 2178932 2490208 3813131 4357864 7626262 8715728 15252524 17431456 30505048 61010096 122020192