Search a number
-
+
120069135014880 = 25352368271593061
BaseRepresentation
bin11011010011001111000110…
…001001000001101111100000
3120202010111102110111200022010
4123103033012021001233200
5111214203042030434010
61103210555452112520
734201465045131252
oct3323170611015740
9522114373450263
10120069135014880
113529204157a147
1211572252465740
1351cc6175ba3bc
14219153cc41cd2
15dd3418d54620
hex6d33c6241be0

120069135014880 has 192 divisors, whose sum is σ = 394720083168768. Its totient is φ = 30621824808960.

The previous prime is 120069135014839. The next prime is 120069135015019. The reversal of 120069135014880 is 88410531960021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74573550 + ... + 76166610.

It is an arithmetic number, because the mean of its divisors is an integer number (2055833766504).

Almost surely, 2120069135014880 is an apocalyptic number.

120069135014880 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 120069135014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197360041584384).

120069135014880 is an abundant number, since it is smaller than the sum of its proper divisors (274650948153888).

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

120069135014880 is a wasteful number, since it uses less digits than its factorization.

120069135014880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599929 (or 1599921 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 120069135014880 in words is "one hundred twenty trillion, sixty-nine billion, one hundred thirty-five million, fourteen thousand, eight hundred eighty".