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121793954688 = 2732733161163
BaseRepresentation
bin111000101101101111…
…1000100001110000000
3102122101000210221200200
41301123133010032000
53443413223022223
6131541255045200
711541111351000
oct1613337041600
9378330727620
10121793954688
114771a56a8aa
121b730670800
13b63ca6b913
145c756c8000
15327c717a43
hex1c5b7c4380

121793954688 has 768 divisors, whose sum is σ = 431448576000. Its totient is φ = 32920473600.

The previous prime is 121793954687. The next prime is 121793954731. The reversal of 121793954688 is 886459397121.

121793954688 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 9 + 3 + 9 + 546 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121793954687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 747202095 + ... + 747202257.

It is an arithmetic number, because the mean of its divisors is an integer number (561782000).

Almost surely, 2121793954688 is an apocalyptic number.

121793954688 is a gapful number since it is divisible by the number (18) 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 121793954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215724288000).

121793954688 is an abundant number, since it is smaller than the sum of its proper divisors (309654621312).

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

121793954688 is a wasteful number, since it uses less digits than its factorization.

121793954688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 267 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 121793954688 in words is "one hundred twenty-one billion, seven hundred ninety-three million, nine hundred fifty-four thousand, six hundred eighty-eight".