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120132138016674 = 2337173591096399
BaseRepresentation
bin11011010100001001110001…
…011010011001111110100010
3120202100112001020202210002000
4123110021301122121332202
5111221221104313013144
61103255535313104430
734206155240613240
oct3324116132317642
9522315036683060
10120132138016674
1135306832087973
12115824b5b58116
135205548240214
1421945d847d790
15dd4da5040769
hex6d4271699fa2

120132138016674 has 256 divisors, whose sum is σ = 329656780800000. Its totient is φ = 31756878620928.

The previous prime is 120132138016673. The next prime is 120132138016697. The reversal of 120132138016674 is 476610831231021.

120132138016674 is a `hidden beast` number, since 1 + 20 + 1 + 3 + 21 + 380 + 166 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (120132138016673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109021527 + ... + 110117925.

It is an arithmetic number, because the mean of its divisors is an integer number (1287721800000).

Almost surely, 2120132138016674 is an apocalyptic number.

120132138016674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120132138016674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828390400000).

120132138016674 is an abundant number, since it is smaller than the sum of its proper divisors (209524642783326).

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

120132138016674 is a wasteful number, since it uses less digits than its factorization.

120132138016674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096527 (or 1096487 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 120132138016674 its reverse (476610831231021), we get a palindrome (596742969247695).

The spelling of 120132138016674 in words is "one hundred twenty trillion, one hundred thirty-two billion, one hundred thirty-eight million, sixteen thousand, six hundred seventy-four".