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120090552912 = 243311107257919
BaseRepresentation
bin110111111010111110…
…1000110101001010000
3102110222022120011202000
41233311331012221100
53431421140143122
6131100245154000
711450645600031
oct1576575065120
9373868504660
10120090552912
1146a25a93940
121b3360bb900
13b42aba0b85
145b53398a88
1531ccde10ac
hex1bf5f46a50

120090552912 has 320 divisors, whose sum is σ = 381447014400. Its totient is φ = 35871621120.

The previous prime is 120090552887. The next prime is 120090552943. The reversal of 120090552912 is 219255090021.

It is a happy number.

120090552912 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 90 + 552 + 9 + 12 = 666.

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 63 ways as a sum of consecutive naturals, for example, 130674789 + ... + 130675707.

It is an arithmetic number, because the mean of its divisors is an integer number (1192021920).

Almost surely, 2120090552912 is an apocalyptic number.

120090552912 is a gapful number since it is divisible by the number (12) 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 120090552912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190723507200).

120090552912 is an abundant number, since it is smaller than the sum of its proper divisors (261356461488).

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

120090552912 is a wasteful number, since it uses less digits than its factorization.

120090552912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 120090552912 in words is "one hundred twenty billion, ninety million, five hundred fifty-two thousand, nine hundred twelve".