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122116608 = 293226501
BaseRepresentation
bin1110100011101…
…01101000000000
322111210011111100
413101311220000
5222230212413
620041214400
73011655045
oct721655000
9274704440
10122116608
1162a28019
1234a91400
131c3b8463
141230b1cc
15aac2a73
hex7475a00

122116608 has 60 divisors (see below), whose sum is σ = 352450098. Its totient is φ = 40704000.

The previous prime is 122116601. The next prime is 122116619. The reversal of 122116608 is 806611221.

It can be written as a sum of positive squares in only one way, i.e., 110502144 + 11614464 = 10512^2 + 3408^2 .

It is not an unprimeable number, because it can be changed into a prime (122116601) 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 5 ways as a sum of consecutive naturals, for example, 8643 + ... + 17858.

Almost surely, 2122116608 is an apocalyptic number.

122116608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122116608 is an abundant number, since it is smaller than the sum of its proper divisors (230333490).

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

122116608 is an equidigital number, since it uses as much as digits as its factorization.

122116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26525 (or 26506 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122116608 is about 11050.6383526021. The cubic root of 122116608 is about 496.1255318756.

Adding to 122116608 its reverse (806611221), we get a palindrome (928727829).

The spelling of 122116608 in words is "one hundred twenty-two million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 26501 53002 79503 106004 159006 212008 238509 318012 424016 477018 636024 848032 954036 1272048 1696064 1908072 2544096 3392128 3816144 5088192 6784256 7632288 10176384 13568512 15264576 20352768 30529152 40705536 61058304 122116608