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121996873323360 = 2534574172111093
BaseRepresentation
bin11011101111010010011100…
…010011000101001101100000
3120222221210020212020020220000
4123233102130103011031200
5111442244044032321420
61111244331230220000
734460661151320000
oct3357223423051540
9528853225206800
10121996873323360
11359656465a2612
121182398a054600
13530c342c85909
14221a974580000
15e18642dba690
hex6ef49c4c5360

121996873323360 has 2400 divisors, whose sum is σ = 534830254957152. Its totient is φ = 26096425205760.

The previous prime is 121996873323319. The next prime is 121996873323383. The reversal of 121996873323360 is 63323378699121.

121996873323360 is a `hidden beast` number, since 1 + 2 + 199 + 6 + 87 + 3 + 3 + 2 + 3 + 360 = 666.

It is a super-2 number, since 2×1219968733233602 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 111616534974 + ... + 111616536066.

Almost surely, 2121996873323360 is an apocalyptic number.

121996873323360 is a gapful number since it is divisible by the number (10) 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 121996873323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267415127478576).

121996873323360 is an abundant number, since it is smaller than the sum of its proper divisors (412833381633792).

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

121996873323360 is a wasteful number, since it uses less digits than its factorization.

121996873323360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 121996873323360 in words is "one hundred twenty-one trillion, nine hundred ninety-six billion, eight hundred seventy-three million, three hundred twenty-three thousand, three hundred sixty".