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120400014132 = 223237691130811
BaseRepresentation
bin111000000100001100…
…1100110101100110100
3102111202212212102201200
41300020121212230310
53433034400423012
6131151102052500
711461424143236
oct1601031465464
9374685772650
10120400014132
114707473a712
121b40187a130
13b47a032218
145b82512256
1531ea16d3dc
hex1c08666b34

120400014132 has 72 divisors (see below), whose sum is σ = 313024744032. Its totient is φ = 38991844800.

The previous prime is 120400014127. The next prime is 120400014157. The reversal of 120400014132 is 231410004021.

120400014132 is a `hidden beast` number, since 120 + 400 + 0 + 14 + 132 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855007 + ... + 985817.

Almost surely, 2120400014132 is an apocalyptic number.

120400014132 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 120400014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156512372016).

120400014132 is an abundant number, since it is smaller than the sum of its proper divisors (192624729900).

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

120400014132 is a wasteful number, since it uses less digits than its factorization.

120400014132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131549 (or 131544 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120400014132 its reverse (231410004021), we get a palindrome (351810018153).

The spelling of 120400014132 in words is "one hundred twenty billion, four hundred million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 691 1332 1382 2073 2764 4146 6219 8292 12438 24876 25567 51134 76701 102268 130811 153402 230103 261622 306804 392433 460206 523244 784866 920412 1177299 1569732 2354598 4709196 4840007 9680014 14520021 19360028 29040042 43560063 58080084 87120126 90390401 174240252 180780802 271171203 361561604 542342406 813513609 1084684812 1627027218 3254054436 3344444837 6688889674 10033334511 13377779348 20066669022 30100003533 40133338044 60200007066 120400014132