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120799981401696 = 25331937379752379
BaseRepresentation
bin11011011101110111101111…
…111110101111011001100000
3120211201100212101220212212000
4123131313233332233121200
5111313141330214323241
61104530424554404000
734305340102665552
oct3335675776573140
9524640771825760
10120799981401696
1135543a91285803
121166ba19430600
13525350a593c1c
1421b8a70b534d2
15de7440ec1eb6
hex6dddeffaf660

120799981401696 has 384 divisors, whose sum is σ = 381008432448000. Its totient is φ = 37105869146112.

The previous prime is 120799981401581. The next prime is 120799981401727. The reversal of 120799981401696 is 696104189997021.

120799981401696 is a `hidden beast` number, since 1 + 2 + 0 + 79 + 9 + 98 + 1 + 401 + 69 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2306241235 + ... + 2306293613.

It is an arithmetic number, because the mean of its divisors is an integer number (992209459500).

Almost surely, 2120799981401696 is an apocalyptic number.

120799981401696 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 120799981401696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190504216224000).

120799981401696 is an abundant number, since it is smaller than the sum of its proper divisors (260208451046304).

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

120799981401696 is a wasteful number, since it uses less digits than its factorization.

120799981401696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56251 (or 56237 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 120799981401696 in words is "one hundred twenty trillion, seven hundred ninety-nine billion, nine hundred eighty-one million, four hundred one thousand, six hundred ninety-six".