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122312140 = 22529227929
BaseRepresentation
bin1110100101001…
…01010111001100
322112011002201021
413102211113030
5222302442030
620045323524
73013431106
oct722452714
9275132637
10122312140
1163050a15
1234b665a4
131c456462
141235c576
15ab1097a
hex74a55cc

122312140 has 48 divisors (see below), whose sum is σ = 267170400. Its totient is φ = 46979072.

The previous prime is 122312131. The next prime is 122312147. The reversal of 122312140 is 41213221.

It is not an unprimeable number, because it can be changed into a prime (122312147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131196 + ... + 132124.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2122312140 is an apocalyptic number.

122312140 is a gapful number since it is divisible by the number (10) 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 122312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

122312140 is an abundant number, since it is smaller than the sum of its proper divisors (144858260).

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

122312140 is a wasteful number, since it uses less digits than its factorization.

122312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 122312140 is about 11059.4819046825. The cubic root of 122312140 is about 496.3901878979.

Adding to 122312140 its reverse (41213221), we get a palindrome (163525361).

The spelling of 122312140 in words is "one hundred twenty-two million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 227 290 454 580 908 929 1135 1858 2270 3716 4540 4645 6583 9290 13166 18580 26332 26941 32915 53882 65830 107764 131660 134705 210883 269410 421766 538820 843532 1054415 2108830 4217660 6115607 12231214 24462428 30578035 61156070 122312140