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12412211013200 = 2452172379361963
BaseRepresentation
bin1011010010011111000101…
…1011011010011001010000
31121221121002022211012211102
42310213301123122121100
53111330202004410300
642222031354403532
72420516105554055
oct264476133323120
947847068735742
1012412211013200
113a55a97593149
1214856a04305a8
136c060ab0480b
1430ca7b80b02c
15167d0b86c0d5
hexb49f16da650

12412211013200 has 120 divisors (see below), whose sum is σ = 32947278078528. Its totient is φ = 4469665699840.

The previous prime is 12412211013161. The next prime is 12412211013229. The reversal of 12412211013200 is 231011221421.

12412211013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 39524582 + ... + 39837381.

Almost surely, 212412211013200 is an apocalyptic number.

12412211013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412211013200 is an abundant number, since it is smaller than the sum of its proper divisors (20535067065328).

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

12412211013200 is a wasteful number, since it uses less digits than its factorization.

12412211013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79362021 (or 79362010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12412211013200 its reverse (231011221421), we get a palindrome (12643222234621).

The spelling of 12412211013200 in words is "twelve trillion, four hundred twelve billion, two hundred eleven million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 34 40 46 50 68 80 85 92 100 115 136 170 184 200 230 272 340 368 391 400 425 460 575 680 782 850 920 1150 1360 1564 1700 1840 1955 2300 3128 3400 3910 4600 6256 6800 7820 9200 9775 15640 19550 31280 39100 78200 156400 79361963 158723926 317447852 396809815 634895704 793619630 1269791408 1349153371 1587239260 1825325149 1984049075 2698306742 3174478520 3650650298 3968098150 5396613484 6348957040 6745766855 7301300596 7936196300 9126625745 10793226968 13491533710 14602601192 15872392600 18253251490 21586453936 26983067420 29205202384 31030527533 31744785200 33728834275 36506502980 45633128725 53966134840 62061055066 67457668550 73013005960 91266257450 107932269680 124122110132 134915337100 146026011920 155152637665 182532514900 248244220264 269830674200 310305275330 365065029800 496488440528 539661348400 620610550660 730130059600 775763188325 1241221101320 1551526376650 2482442202640 3103052753300 6206105506600 12412211013200