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12124804128400 = 245230312010321
BaseRepresentation
bin1011000001110000011010…
…1001001001111010010000
31120221010020110001201112101
42300130012221021322100
53042123044324102100
641442020315410144
72360662643421115
oct260340651117220
946833213051471
1012124804128400
113955111923777
121439a50453954
1369c496c95682
142dcbb4d9a90c
151605d9a3b86a
hexb0706a49e90

12124804128400 has 30 divisors (see below), whose sum is σ = 29129841919442. Its totient is φ = 4849921651200.

The previous prime is 12124804128329. The next prime is 12124804128413. The reversal of 12124804128400 is 482140842121.

It can be written as a sum of positive squares in 3 ways, for example, as 2688799739536 + 9436004388864 = 1639756^2 + 3071808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12124804128400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15156004761 + ... + 15156005560.

Almost surely, 212124804128400 is an apocalyptic number.

12124804128400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12124804128400 is an abundant number, since it is smaller than the sum of its proper divisors (17005037791042).

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

12124804128400 is a wasteful number, since it uses less digits than its factorization.

12124804128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30312010339 (or 30312010328 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The spelling of 12124804128400 in words is "twelve trillion, one hundred twenty-four billion, eight hundred four million, one hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30312010321 60624020642 121248041284 151560051605 242496082568 303120103210 484992165136 606240206420 757800258025 1212480412840 1515600516050 2424960825680 3031201032100 6062402064200 12124804128400