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120227380812 = 22357111679619
BaseRepresentation
bin110111111111000011…
…1000011111001001100
3102111022212000202100000
41233332013003321030
53432211202141222
6131122014004300
711454226606140
oct1577607037114
9374285022300
10120227380812
1146a96249750
121b373aa6690
13b45033a426
145b67615220
1531d9e1c9ac
hex1bfe1c3e4c

120227380812 has 288 divisors, whose sum is σ = 395325665280. Its totient is φ = 31037670720.

The previous prime is 120227380811. The next prime is 120227380829. The reversal of 120227380812 is 218083722021.

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

It is not an unprimeable number, because it can be changed into a prime (120227380811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12494139 + ... + 12503757.

It is an arithmetic number, because the mean of its divisors is an integer number (1372658560).

Almost surely, 2120227380812 is an apocalyptic number.

120227380812 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 120227380812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197662832640).

120227380812 is an abundant number, since it is smaller than the sum of its proper divisors (275098284468).

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

120227380812 is a wasteful number, since it uses less digits than its factorization.

120227380812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 120227380812 in words is "one hundred twenty billion, two hundred twenty-seven million, three hundred eighty thousand, eight hundred twelve".