Search a number
-
+
122220159221160 = 2332571113616438647
BaseRepresentation
bin11011110010100010011001…
…001011001011110110101000
3121000202010121001001010000200
4123302202121023023312220
5112004423341230034120
61111535055510032200
734513054324166610
oct3362423113136650
9530663531033020
10122220159221160
1135a41307675450
121185b104048660
135327408664c30
1422276b70d1a40
15e1e3607c4e90
hex6f28992cbda8

122220159221160 has 1536 divisors, whose sum is σ = 542973167493120. Its totient is φ = 23019995750400.

The previous prime is 122220159221119. The next prime is 122220159221177. The reversal of 122220159221160 is 61122951022221.

122220159221160 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 0 + 1 + 592 + 2 + 1 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14134395957 + ... + 14134404603.

It is an arithmetic number, because the mean of its divisors is an integer number (353498155920).

Almost surely, 2122220159221160 is an apocalyptic number.

122220159221160 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 122220159221160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271486583746560).

122220159221160 is an abundant number, since it is smaller than the sum of its proper divisors (420753008271960).

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

122220159221160 is a wasteful number, since it uses less digits than its factorization.

122220159221160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9399 (or 9392 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 122220159221160 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred fifty-nine million, two hundred twenty-one thousand, one hundred sixty".