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120122332020 = 2233529101173439
BaseRepresentation
bin110111111011111011…
…0010101001101110100
3102111001112100201111000
41233313312111031310
53432002304111040
6131103342243300
711451512655345
oct1576766251564
9374045321430
10120122332020
1146a41a19a69
121b344886530
13b434649892
145b576ac0cc
1531d0abc130
hex1bf7d95374

120122332020 has 384 divisors, whose sum is σ = 393579648000. Its totient is φ = 30375475200.

The previous prime is 120122331961. The next prime is 120122332037. The reversal of 120122332020 is 20233221021.

120122332020 is a `hidden beast` number, since 120 + 1 + 223 + 320 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120122331984 and 120122332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273626961 + ... + 273627399.

It is an arithmetic number, because the mean of its divisors is an integer number (1024947000).

Almost surely, 2120122332020 is an apocalyptic number.

120122332020 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 120122332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196789824000).

120122332020 is an abundant number, since it is smaller than the sum of its proper divisors (273457315980).

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

120122332020 is a wasteful number, since it uses less digits than its factorization.

120122332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120122332020 its reverse (20233221021), we get a palindrome (140355553041).

The spelling of 120122332020 in words is "one hundred twenty billion, one hundred twenty-two million, three hundred thirty-two thousand, twenty".