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1213289925120 = 293257213192229
BaseRepresentation
bin10001101001111101101…
…101110000101000000000
311021222201021001020221100
4101221331231300220000
5124334304210100440
62325213325454400
7153441312126300
oct21517555605000
94258637036840
101213289925120
1142860a594589
12177188411400
138a549a6a820
1442a1b5a3600
152186180b230
hex11a7db70a00

1213289925120 has 2160 divisors, whose sum is σ = 5579893879560. Its totient is φ = 241458610176.

The previous prime is 1213289925097. The next prime is 1213289925157. The reversal of 1213289925120 is 215299823121.

1213289925120 is a `hidden beast` number, since 1 + 21 + 3 + 28 + 9 + 92 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1030338683136 + 182951241984 = 1015056^2 + 427728^2 .

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 215 ways as a sum of consecutive naturals, for example, 5298209166 + ... + 5298209394.

Almost surely, 21213289925120 is an apocalyptic number.

1213289925120 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 1213289925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789946939780).

1213289925120 is an abundant number, since it is smaller than the sum of its proper divisors (4366603954440).

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

1213289925120 is a wasteful number, since it uses less digits than its factorization.

1213289925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1213289925120 in words is "one trillion, two hundred thirteen billion, two hundred eighty-nine million, nine hundred twenty-five thousand, one hundred twenty".