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123048051331392 = 26341119313663547
BaseRepresentation
bin11011111110100101011011…
…011000111101000101000000
3121010200021112021002212020000
4123332211123120331011000
5112112004402120101032
61113411254443120000
734626633264053355
oct3376453330750500
9533607467085200
10123048051331392
1136230427136410
1211973653513000
1353874c6085635
1422557b396062c
15e35b6761ae7c
hex6fe95b63d140

123048051331392 has 560 divisors, whose sum is σ = 432366659450880. Its totient is φ = 34185280435200.

The previous prime is 123048051331379. The next prime is 123048051331453. The reversal of 123048051331392 is 293133150840321.

123048051331392 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 48 + 0 + 513 + 3 + 1 + 3 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31755363 + ... + 35418909.

It is an arithmetic number, because the mean of its divisors is an integer number (772083320448).

Almost surely, 2123048051331392 is an apocalyptic number.

123048051331392 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 123048051331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216183329725440).

123048051331392 is an abundant number, since it is smaller than the sum of its proper divisors (309318608119488).

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

123048051331392 is a wasteful number, since it uses less digits than its factorization.

123048051331392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663632 (or 3663613 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 123048051331392 in words is "one hundred twenty-three trillion, forty-eight billion, fifty-one million, three hundred thirty-one thousand, three hundred ninety-two".