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1125927936000 = 2133253731563
BaseRepresentation
bin10000011000100110100…
…010001110000000000000
310222122012212001101102200
4100120212202032000000
5121421400022423000
62221124423113200
7144226354355460
oct20304642160000
93878185041380
101125927936000
113a4559a7007a
12162266ba2800
138223663983a
143c6d0b9dba0
151e44bd6c500
hex1062688e000

1125927936000 has 1344 divisors, whose sum is σ = 4797118550016. Its totient is φ = 248610816000.

The previous prime is 1125927935981. The next prime is 1125927936097. The reversal of 1125927936000 is 6397295211.

It is a happy number.

1125927936000 is a `hidden beast` number, since 1 + 12 + 5 + 9 + 27 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1999871719 + ... + 1999872281.

Almost surely, 21125927936000 is an apocalyptic number.

1125927936000 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 1125927936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398559275008).

1125927936000 is an abundant number, since it is smaller than the sum of its proper divisors (3671190614016).

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

1125927936000 is an equidigital number, since it uses as much as digits as its factorization.

1125927936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1125927936000 in words is "one trillion, one hundred twenty-five billion, nine hundred twenty-seven million, nine hundred thirty-six thousand".