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1122139560960 = 21033511799341
BaseRepresentation
bin10000010101000100101…
…110101101110000000000
310222021102211112222212000
4100111010232231300000
5121341120211422320
62215300453104000
7144033443614335
oct20250456556000
93867384488760
101122139560960
113a2995589910
1216158a328000
1381a818127c2
143c4519b698c
151e2c949ac90
hex10544badc00

1122139560960 has 704 divisors, whose sum is σ = 4405956249600. Its totient is φ = 268561612800.

The previous prime is 1122139560953. The next prime is 1122139561003. The reversal of 1122139560960 is 690659312211.

1122139560960 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 39 + 5 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×11221395609602 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120125890 + ... + 120135230.

Almost surely, 21122139560960 is an apocalyptic number.

1122139560960 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 1122139560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202978124800).

1122139560960 is an abundant number, since it is smaller than the sum of its proper divisors (3283816688640).

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

1122139560960 is a wasteful number, since it uses less digits than its factorization.

1122139560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1122139560960 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-nine million, five hundred sixty thousand, nine hundred sixty".