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122025132 = 223261181307
BaseRepresentation
bin1110100010111…
…11010010101100
322111121112000100
413101133102230
5222214301012
620035231100
73011124255
oct721372254
9274545010
10122025132
1162975319
1234a48490
131c385928
14122c5b2c
15aaa58dc
hex745f4ac

122025132 has 72 divisors (see below), whose sum is σ = 316267952. Its totient is φ = 39657600.

The previous prime is 122025131. The next prime is 122025139. The reversal of 122025132 is 231520221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122025131) 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, 397323 + ... + 397629.

Almost surely, 2122025132 is an apocalyptic number.

122025132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122025132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158133976).

122025132 is an abundant number, since it is smaller than the sum of its proper divisors (194242820).

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

122025132 is a wasteful number, since it uses less digits than its factorization.

122025132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 554 counting only the distinct ones).

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

The square root of 122025132 is about 11046.4986307879. The cubic root of 122025132 is about 496.0016204855.

Adding to 122025132 its reverse (231520221), we get a palindrome (353545353).

The spelling of 122025132 in words is "one hundred twenty-two million, twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 181 183 244 307 362 366 543 549 614 724 732 921 1086 1098 1228 1629 1842 2172 2196 2763 3258 3684 5526 6516 11041 11052 18727 22082 33123 37454 44164 55567 56181 66246 74908 99369 111134 112362 132492 166701 168543 198738 222268 224724 333402 337086 397476 500103 666804 674172 1000206 2000412 3389587 6779174 10168761 13558348 20337522 30506283 40675044 61012566 122025132