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122136320 = 28595419
BaseRepresentation
bin1110100011110…
…10011100000000
322111211011112102
413101322130000
5222231330240
620041445532
73012066365
oct721723400
9274734472
10122136320
1162a40909
1234aa08a8
131c3c4417
141231446c
15aac8815
hex747a700

122136320 has 36 divisors (see below), whose sum is σ = 292557720. Its totient is φ = 48854016.

The previous prime is 122136317. The next prime is 122136331. The reversal of 122136320 is 23631221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122136292 and 122136301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46430 + ... + 48989.

Almost surely, 2122136320 is an apocalyptic number.

122136320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122136320 is an abundant number, since it is smaller than the sum of its proper divisors (170421400).

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

122136320 is an frugal number, since it uses more digits than its factorization.

122136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95440 (or 95426 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 122136320 is about 11051.5302107898. The cubic root of 122136320 is about 496.1522252154.

Adding to 122136320 its reverse (23631221), we get a palindrome (145767541).

The spelling of 122136320 in words is "one hundred twenty-two million, one hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 95419 190838 381676 477095 763352 954190 1526704 1908380 3053408 3816760 6106816 7633520 12213632 15267040 24427264 30534080 61068160 122136320