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121227333696 = 2633719557947
BaseRepresentation
bin111000011100110110…
…1100101000001000000
3102120220112121121211000
41300321231211001000
53441233144134241
6131405134252000
711521061222520
oct1607155450100
9376815547730
10121227333696
1147459740097
121b5b2957000
13b57c55c021
145c2034d680
153247adeeb6
hex1c39b65040

121227333696 has 448 divisors, whose sum is σ = 429958195200. Its totient is φ = 32719915008.

The previous prime is 121227333683. The next prime is 121227333707. The reversal of 121227333696 is 696333722121.

121227333696 is a `hidden beast` number, since 1 + 2 + 1 + 227 + 3 + 336 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

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, 128011495 + ... + 128012441.

Almost surely, 2121227333696 is an apocalyptic number.

121227333696 is a gapful number since it is divisible by the number (16) 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 121227333696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214979097600).

121227333696 is an abundant number, since it is smaller than the sum of its proper divisors (308730861504).

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

121227333696 is a wasteful number, since it uses less digits than its factorization.

121227333696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 121227333696 in words is "one hundred twenty-one billion, two hundred twenty-seven million, three hundred thirty-three thousand, six hundred ninety-six".