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12012400880 = 2452943120413
BaseRepresentation
bin10110010111111111…
…01011000011110000
31011000011110012011022
423023333223003300
5144100133312010
65303551235012
7603451502624
oct131377530360
934004405138
1012012400880
115104761637
1223b2b18a68
1311958b711c
1481d529184
154a48bed55
hex2cbfeb0f0

12012400880 has 80 divisors (see below), whose sum is σ = 29564045280. Its totient is φ = 4531344384.

The previous prime is 12012400879. The next prime is 12012400891. The reversal of 12012400880 is 8800421021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 39554 + ... + 159966.

It is an arithmetic number, because the mean of its divisors is an integer number (369550566).

Almost surely, 212012400880 is an apocalyptic number.

12012400880 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 12012400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782022640).

12012400880 is an abundant number, since it is smaller than the sum of its proper divisors (17551644400).

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

12012400880 is a wasteful number, since it uses less digits than its factorization.

12012400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120498 (or 120492 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 12012400880 in words is "twelve billion, twelve million, four hundred thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 688 860 1160 1247 1720 2320 2494 3440 4988 6235 9976 12470 19952 24940 49880 99760 120413 240826 481652 602065 963304 1204130 1926608 2408260 3491977 4816520 5177759 6983954 9633040 10355518 13967908 17459885 20711036 25888795 27935816 34919770 41422072 51777590 55871632 69839540 82844144 103555180 139679080 150155011 207110360 279358160 300310022 414220720 600620044 750775055 1201240088 1501550110 2402480176 3003100220 6006200440 12012400880