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120961074082392 = 233271100072364563
BaseRepresentation
bin11011100000001101110001…
…110110100011001001011000
3120212021202200020012221222100
4123200031301312203021120
5111323311234431114032
61105132430021523400
734323102115122015
oct3340156166431130
9525252606187870
10120961074082392
11355a6337964065
1211697096b73560
13526577101ab6b
1421c279381c70c
15deb71d84b97c
hex6e0371da3258

120961074082392 has 96 divisors (see below), whose sum is σ = 332250373428480. Its totient is φ = 39748476384960.

The previous prime is 120961074082357. The next prime is 120961074082423. The reversal of 120961074082392 is 293280470169021.

120961074082392 is a `hidden beast` number, since 1 + 20 + 9 + 6 + 107 + 408 + 23 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49973503 + ... + 52338065.

It is an arithmetic number, because the mean of its divisors is an integer number (3460941389880).

Almost surely, 2120961074082392 is an apocalyptic number.

120961074082392 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 120961074082392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166125186714240).

120961074082392 is an abundant number, since it is smaller than the sum of its proper divisors (211289299346088).

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

120961074082392 is a wasteful number, since it uses less digits than its factorization.

120961074082392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374653 (or 2374646 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 120961074082392 in words is "one hundred twenty trillion, nine hundred sixty-one billion, seventy-four million, eighty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 10007 20014 30021 40028 60042 80056 90063 120084 180126 240168 360252 710497 720504 1420994 2131491 2364563 2841988 4262982 4729126 5683976 6394473 7093689 8525964 9458252 12788946 14187378 17051928 18916504 21281067 25577892 28374756 42562134 51155784 56749512 85124268 167883973 170248536 335767946 503651919 671535892 1007303838 1343071784 1510955757 2014607676 3021911514 4029215352 6043823028 12087646056 23662181941 47324363882 70986545823 94648727764 141973091646 189297455528 212959637469 283946183292 425919274938 567892366584 851838549876 1680014917811 1703677099752 3360029835622 5040044753433 6720059671244 10080089506866 13440119342488 15120134260299 20160179013732 30240268520598 40320358027464 60480537041196 120961074082392