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122130312 = 233171272357
BaseRepresentation
bin1110100011110…
…00111110001000
322111210212021220
413101320332020
5222231132222
620041402040
73012043023
oct721707610
9274725256
10122130312
1162a37347
1234a99320
131c3c1775
14123121ba
15aac6b5c
hex7478f88

122130312 has 64 divisors (see below), whose sum is σ = 325969920. Its totient is φ = 37997568.

The previous prime is 122130289. The next prime is 122130343. The reversal of 122130312 is 213031221.

122130312 is nontrivially palindromic in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 122130291 and 122130300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50638 + ... + 52994.

It is an arithmetic number, because the mean of its divisors is an integer number (5093280).

Almost surely, 2122130312 is an apocalyptic number.

122130312 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 122130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162984960).

122130312 is an abundant number, since it is smaller than the sum of its proper divisors (203839608).

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

122130312 is a wasteful number, since it uses less digits than its factorization.

122130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122130312 is about 11051.2583898848. The cubic root of 122130312 is about 496.1440896844.

Adding to 122130312 its reverse (213031221), we get a palindrome (335161533).

Subtracting 122130312 from its reverse (213031221), we obtain a palindrome (90900909).

The spelling of 122130312 in words is "one hundred twenty-two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 204 254 381 408 508 762 1016 1524 2159 2357 3048 4318 4714 6477 7071 8636 9428 12954 14142 17272 18856 25908 28284 40069 51816 56568 80138 120207 160276 240414 299339 320552 480828 598678 898017 961656 1197356 1796034 2394712 3592068 5088763 7184136 10177526 15266289 20355052 30532578 40710104 61065156 122130312