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122999328 = 2532427081
BaseRepresentation
bin1110101010011…
…01001000100000
322120110000100200
413111031020200
5222441434303
620112145200
73022322424
oct725151040
9276400320
10122999328
1163480241
1235238200
131c63718a
141249ab84
15abe93a3
hex754d220

122999328 has 36 divisors (see below), whose sum is σ = 349780158. Its totient is φ = 40999680.

The previous prime is 122999323. The next prime is 122999333. The reversal of 122999328 is 823999221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122999323) and next prime (122999333).

It can be written as a sum of positive squares in only one way, i.e., 106254864 + 16744464 = 10308^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122999321) 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, 213253 + ... + 213828.

Almost surely, 2122999328 is an apocalyptic number.

122999328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122999328 is an abundant number, since it is smaller than the sum of its proper divisors (226780830).

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

122999328 is a wasteful number, since it uses less digits than its factorization.

122999328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427097 (or 427086 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 122999328 is about 11090.5062102683. The cubic root of 122999328 is about 497.3180776386.

The spelling of 122999328 in words is "one hundred twenty-two million, nine hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 427081 854162 1281243 1708324 2562486 3416648 3843729 5124972 6833296 7687458 10249944 13666592 15374916 20499888 30749832 40999776 61499664 122999328