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12400884060 = 22351512814871
BaseRepresentation
bin10111000110010011…
…00111100101011100
31012000020110011220020
423203021213211130
5200344111242220
65410305552140
7616206526635
oct134311474534
935006404806
1012400884060
115293a80814
1224a1045650
131228225626
14858d7288c
154c8a5b040
hex2e326795c

12400884060 has 96 divisors (see below), whose sum is σ = 35084012544. Its totient is φ = 3272640000.

The previous prime is 12400884043. The next prime is 12400884101. The reversal of 12400884060 is 6048800421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543425 + ... + 2548295.

It is an arithmetic number, because the mean of its divisors is an integer number (365458464).

Almost surely, 212400884060 is an apocalyptic number.

12400884060 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 12400884060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542006272).

12400884060 is an abundant number, since it is smaller than the sum of its proper divisors (22683128484).

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

12400884060 is a wasteful number, since it uses less digits than its factorization.

12400884060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 12400884060 in words is "twelve billion, four hundred million, eight hundred eighty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 281 302 453 562 604 755 843 906 1124 1405 1510 1686 1812 2265 2810 3020 3372 4215 4530 4871 5620 8430 9060 9742 14613 16860 19484 24355 29226 42431 48710 58452 73065 84862 97420 127293 146130 169724 212155 254586 292260 424310 509172 636465 735521 848620 1272930 1368751 1471042 2206563 2545860 2737502 2942084 3677605 4106253 4413126 5475004 6843755 7355210 8212506 8826252 11032815 13687510 14710420 16425012 20531265 22065630 27375020 41062530 44131260 82125060 206681401 413362802 620044203 826725604 1033407005 1240088406 2066814010 2480176812 3100221015 4133628020 6200442030 12400884060