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120272052096 = 2733731160373
BaseRepresentation
bin111000000000011000…
…1011101111110000000
3102111102222002021211000
41300000301131332000
53432304121131341
6131130251252000
711455311401130
oct1600061357600
9374388067730
10120272052096
114700948a969
121b386a4a000
13b45967b241
145b6d522ac0
1531ddce38b6
hex1c00c5df80

120272052096 has 256 divisors, whose sum is σ = 418768588800. Its totient is φ = 33254737920.

The previous prime is 120272052083. The next prime is 120272052139. The reversal of 120272052096 is 690250272021.

It is a happy number.

120272052096 is a `hidden beast` number, since 1 + 2 + 0 + 27 + 20 + 520 + 96 = 666.

120272052096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120272052096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669766 + ... + 830138.

It is an arithmetic number, because the mean of its divisors is an integer number (1635814800).

Almost surely, 2120272052096 is an apocalyptic number.

120272052096 is a gapful number since it is divisible by the number (16) 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 120272052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209384294400).

120272052096 is an abundant number, since it is smaller than the sum of its proper divisors (298496536704).

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

120272052096 is a wasteful number, since it uses less digits than its factorization.

120272052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160434 (or 160416 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 120272052096 in words is "one hundred twenty billion, two hundred seventy-two million, fifty-two thousand, ninety-six".