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122028811380 = 2232571946111057
BaseRepresentation
bin111000110100101111…
…0111110010001110100
3102122222101201220111200
41301221132332101310
53444403333431010
6132020444532500
711546662532250
oct1615136762164
9378871656450
10122028811380
11478300a0143
121b797251130
13b67960b688
145c98981260
153293159cc0
hex1c697be474

122028811380 has 288 divisors, whose sum is σ = 446304418560. Its totient is φ = 26364579840.

The previous prime is 122028811309. The next prime is 122028811403. The reversal of 122028811380 is 83118820221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11030812 + ... + 11041868.

It is an arithmetic number, because the mean of its divisors is an integer number (1549668120).

Almost surely, 2122028811380 is an apocalyptic number.

122028811380 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 122028811380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223152209280).

122028811380 is an abundant number, since it is smaller than the sum of its proper divisors (324275607180).

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

122028811380 is a wasteful number, since it uses less digits than its factorization.

122028811380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 122028811380 in words is "one hundred twenty-two billion, twenty-eight million, eight hundred eleven thousand, three hundred eighty".