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122080737870 = 23357213254601
BaseRepresentation
bin111000110110010010…
…1000011101001001110
3102200010000110001021000
41301230211003221032
54000010132102440
6132025541521130
711551163102400
oct1615445035116
9380100401230
10122080737870
11478574372a3
121b7b07131a6
13b6872bc900
145ca181ab70
1532979b5730
hex1c6c943a4e

122080737870 has 288 divisors, whose sum is σ = 410078492640. Its totient is φ = 25757222400.

The previous prime is 122080737833. The next prime is 122080737901. The reversal of 122080737870 is 78737080221.

It is a happy number.

122080737870 is a `hidden beast` number, since 1 + 2 + 208 + 0 + 7 + 378 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2208570 + ... + 2263170.

It is an arithmetic number, because the mean of its divisors is an integer number (1423883655).

Almost surely, 2122080737870 is an apocalyptic number.

122080737870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122080737870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205039246320).

122080737870 is an abundant number, since it is smaller than the sum of its proper divisors (287997754770).

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

122080737870 is a wasteful number, since it uses less digits than its factorization.

122080737870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54657 (or 54631 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 122080737870 in words is "one hundred twenty-two billion, eighty million, seven hundred thirty-seven thousand, eight hundred seventy".