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120676419072 = 29321131611259
BaseRepresentation
bin111000001100011100…
…0000000011000000000
3102112111010222021000200
41300120320000120000
53434121130402242
6131234334245200
711501321431446
oct1603070003000
9375433867020
10120676419072
11471a6768850
121b47a356800
13b4c238b441
145bab102b96
15321456b04c
hex1c18e00600

120676419072 has 480 divisors, whose sum is σ = 398944465920. Its totient is φ = 34781184000.

The previous prime is 120676419037. The next prime is 120676419091. The reversal of 120676419072 is 270914676021.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95850379 + ... + 95851637.

It is an arithmetic number, because the mean of its divisors is an integer number (831134304).

Almost surely, 2120676419072 is an apocalyptic number.

120676419072 is a gapful number since it is divisible by the number (12) 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 120676419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199472232960).

120676419072 is an abundant number, since it is smaller than the sum of its proper divisors (278268046848).

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

120676419072 is a wasteful number, since it uses less digits than its factorization.

120676419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 120676419072 in words is "one hundred twenty billion, six hundred seventy-six million, four hundred nineteen thousand, seventy-two".