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122051140 = 225291631291
BaseRepresentation
bin1110100011001…
…01101001000100
322111122211200121
413101211221010
5222221114030
620035551324
73011263141
oct721455104
9274584617
10122051140
1162992912
1234a5b544
131c394713
14122d13c8
15aaad47a
hex7465a44

122051140 has 48 divisors (see below), whose sum is σ = 266978880. Its totient is φ = 46811520.

The previous prime is 122051131. The next prime is 122051147. The reversal of 122051140 is 41150221.

It is not an unprimeable number, because it can be changed into a prime (122051147) 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, 93895 + ... + 95185.

It is an arithmetic number, because the mean of its divisors is an integer number (5562060).

Almost surely, 2122051140 is an apocalyptic number.

122051140 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 122051140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133489440).

122051140 is an abundant number, since it is smaller than the sum of its proper divisors (144927740).

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

122051140 is a wasteful number, since it uses less digits than its factorization.

122051140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 122051140 is about 11047.6757736639. The cubic root of 122051140 is about 496.0368566525.

The spelling of 122051140 in words is "one hundred twenty-two million, fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 163 290 326 580 652 815 1291 1630 2582 3260 4727 5164 6455 9454 12910 18908 23635 25820 37439 47270 74878 94540 149756 187195 210433 374390 420866 748780 841732 1052165 2104330 4208660 6102557 12205114 24410228 30512785 61025570 122051140