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122332021020 = 22325115367127137
BaseRepresentation
bin111000111101110001…
…1101000000100011100
3102200202112021112221100
41301323203220010130
54001013444133040
6132110515433100
711560334010336
oct1617343500434
9380675245840
10122332021020
1147976267020
121b8608b5790
13b6c7391371
145cc6d4c456
1532aea9eb30
hex1c7b8e811c

122332021020 has 576 divisors, whose sum is σ = 424977186816. Its totient is φ = 28229160960.

The previous prime is 122332021013. The next prime is 122332021033. The reversal of 122332021020 is 20120233221.

122332021020 is a `hidden beast` number, since 122 + 332 + 0 + 210 + 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 = 122332020984 and 122332021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 892934392 + ... + 892934528.

It is an arithmetic number, because the mean of its divisors is an integer number (737807616).

Almost surely, 2122332021020 is an apocalyptic number.

122332021020 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 122332021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212488593408).

122332021020 is an abundant number, since it is smaller than the sum of its proper divisors (302645165796).

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

122332021020 is a wasteful number, since it uses less digits than its factorization.

122332021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

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

Adding to 122332021020 its reverse (20120233221), we get a palindrome (142452254241).

The spelling of 122332021020 in words is "one hundred twenty-two billion, three hundred thirty-two million, twenty-one thousand, twenty".