Search a number
-
+
1125265695120 = 2432572361715733
BaseRepresentation
bin10000010111111111000…
…011111110000110010000
310222120111200221001201200
4100113333003332012100
5121414021004220440
62220535005031200
7144204063410160
oct20277703760620
93876450831650
101125265695120
113a424a170766
12162101255500
138215c38b028
143c66ac545a0
151e40db57c30
hex105ff0fe190

1125265695120 has 480 divisors, whose sum is σ = 4514245212672. Its totient is φ = 245606473728.

The previous prime is 1125265695109. The next prime is 1125265695139. The reversal of 1125265695120 is 215965625211.

1125265695120 is a `hidden beast` number, since 1 + 1 + 2 + 526 + 56 + 9 + 51 + 20 = 666.

It is a super-2 number, since 2×11252656951202 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71514774 + ... + 71530506.

Almost surely, 21125265695120 is an apocalyptic number.

1125265695120 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 1125265695120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257122606336).

1125265695120 is an abundant number, since it is smaller than the sum of its proper divisors (3388979517552).

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

1125265695120 is a wasteful number, since it uses less digits than its factorization.

1125265695120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16399 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1125265695120 in words is "one trillion, one hundred twenty-five billion, two hundred sixty-five million, six hundred ninety-five thousand, one hundred twenty".