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1201196363904 = 273237106126561
BaseRepresentation
bin10001011110101100111…
…000011111000010000000
311020211111102212200201200
4101132230320133002000
5124140022232121104
62315453314501200
7152532523425315
oct21365470370200
94224442780650
101201196363904
11423474039a99
12174972294800
1389370408144
14421d138cd0c
15213a4c58b39
hex117ace1f080

1201196363904 has 192 divisors, whose sum is σ = 3553468078680. Its totient is φ = 389195366400.

The previous prime is 1201196363891. The next prime is 1201196363933. The reversal of 1201196363904 is 4093636911021.

1201196363904 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 9 + 6 + 3 + 639 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1184875790400 + 16320573504 = 1088520^2 + 127752^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1201196363904.

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, 45210784 + ... + 45237344.

Almost surely, 21201196363904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201196363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776734039340).

1201196363904 is an abundant number, since it is smaller than the sum of its proper divisors (2352271714776).

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

1201196363904 is a wasteful number, since it uses less digits than its factorization.

1201196363904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27679 (or 27664 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1201196363904 in words is "one trillion, two hundred one billion, one hundred ninety-six million, three hundred sixty-three thousand, nine hundred four".