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122120253 = 32311672621
BaseRepresentation
bin1110100011101…
…10100000111101
322111210100111100
413101312200331
5222230322003
620041243313
73012001503
oct721664075
9274710440
10122120253
1162a2a832
1234a93539
131c3ba008
141230c673
15aac3ba3
hex747683d

122120253 has 24 divisors (see below), whose sum is σ = 183246336. Its totient is φ = 78285600.

The previous prime is 122120237. The next prime is 122120261. The reversal of 122120253 is 352021221.

It is not a de Polignac number, because 122120253 - 24 = 122120237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45283 + ... + 47903.

It is an arithmetic number, because the mean of its divisors is an integer number (7635264).

Almost surely, 2122120253 is an apocalyptic number.

It is an amenable number.

122120253 is a deficient number, since it is larger than the sum of its proper divisors (61126083).

122120253 is a wasteful number, since it uses less digits than its factorization.

122120253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122120253 is about 11050.8032739706. The cubic root of 122120253 is about 496.1304680308.

Adding to 122120253 its reverse (352021221), we get a palindrome (474141474).

The spelling of 122120253 in words is "one hundred twenty-two million, one hundred twenty thousand, two hundred fifty-three".

Divisors: 1 3 9 31 93 167 279 501 1503 2621 5177 7863 15531 23589 46593 81251 243753 437707 731259 1313121 3939363 13568917 40706751 122120253