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120799696896 = 2113319313709
BaseRepresentation
bin111000010000000111…
…0010001100000000000
3102112210201221102102000
41300200032101200000
53434344210300041
6131254500424000
711504346324144
oct1604016214000
9375721842360
10120799696896
114725a30924a
121b4b36a8000
13b511a922b8
145bbd633224
1532202bcbb6
hex1c20391800

120799696896 has 384 divisors, whose sum is σ = 388926720000. Its totient is φ = 36906762240.

The previous prime is 120799696879. The next prime is 120799696909. The reversal of 120799696896 is 698696997021.

120799696896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 32567490 + ... + 32571198.

It is an arithmetic number, because the mean of its divisors is an integer number (1012830000).

Almost surely, 2120799696896 is an apocalyptic number.

120799696896 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 120799696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194463360000).

120799696896 is an abundant number, since it is smaller than the sum of its proper divisors (268127023104).

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

120799696896 is a wasteful number, since it uses less digits than its factorization.

120799696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 120799696896 in words is "one hundred twenty billion, seven hundred ninety-nine million, six hundred ninety-six thousand, eight hundred ninety-six".