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122339052 = 223311295367
BaseRepresentation
bin1110100101010…
…11111011101100
322112012110122000
413102223323230
5222304322202
620050052300
73013602423
oct722537354
9275173560
10122339052
116306a160
1234b7a090
131c465794
14123682ba
15ab1891c
hex74abeec

122339052 has 192 divisors, whose sum is σ = 370137600. Its totient is φ = 34594560.

The previous prime is 122339027. The next prime is 122339069. The reversal of 122339052 is 250933221.

122339052 is a `hidden beast` number, since 1 + 223 + 390 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1825923 + ... + 1825989.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2122339052 is an apocalyptic number.

122339052 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 122339052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

122339052 is an abundant number, since it is smaller than the sum of its proper divisors (247798548).

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

122339052 is a wasteful number, since it uses less digits than its factorization.

122339052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 122339052 is about 11060.6985312863. The cubic root of 122339052 is about 496.4265916789.

The spelling of 122339052 in words is "one hundred twenty-two million, three hundred thirty-nine thousand, fifty-two".