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122114240 = 265381607
BaseRepresentation
bin1110100011101…
…01000011000000
322111210001020122
413101311003000
5222230123430
620041155412
73011645123
oct721650300
9274701218
10122114240
1162a26266
1234a8bb68
131c3b7361
141230a3ba
15aac1ee5
hex74750c0

122114240 has 28 divisors (see below), whose sum is σ = 290785296. Its totient is φ = 48845568.

The previous prime is 122114231. The next prime is 122114243. The reversal of 122114240 is 42411221.

It is a super-2 number, since 2×1221142402 = 29823775221555200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122114243) 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 3 ways as a sum of consecutive naturals, for example, 190484 + ... + 191123.

Almost surely, 2122114240 is an apocalyptic number.

122114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122114240 is an abundant number, since it is smaller than the sum of its proper divisors (168671056).

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

122114240 is an equidigital number, since it uses as much as digits as its factorization.

122114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381624 (or 381614 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 122114240 is about 11050.5312089510. The cubic root of 122114240 is about 496.1223250149.

Adding to 122114240 its reverse (42411221), we get a palindrome (164525461).

The spelling of 122114240 in words is "one hundred twenty-two million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 381607 763214 1526428 1908035 3052856 3816070 6105712 7632140 12211424 15264280 24422848 30528560 61057120 122114240