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121015145222496 = 253372331371574831
BaseRepresentation
bin11011100001000000001000…
…101111100101000101100000
3120212110221020112121110221000
4123201000020233211011200
5111330203004134104441
61105213331254032000
734330025053203630
oct3341001057450540
9525427215543830
10121015145222496
113561726468aa08
12116a5667348600
13526a8aa359a15
1421c5242b006c0
15decd3581a2b6
hex6e1008be5160

121015145222496 has 1536 divisors, whose sum is σ = 449178910064640. Its totient is φ = 30935839334400.

The previous prime is 121015145222359. The next prime is 121015145222581. The reversal of 121015145222496 is 694222541510121.

It is a happy number.

121015145222496 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 5 + 14 + 522 + 24 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25049706801 + ... + 25049711631.

It is an arithmetic number, because the mean of its divisors is an integer number (292434186240).

Almost surely, 2121015145222496 is an apocalyptic number.

121015145222496 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 121015145222496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224589455032320).

121015145222496 is an abundant number, since it is smaller than the sum of its proper divisors (328163764842144).

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

121015145222496 is a wasteful number, since it uses less digits than its factorization.

121015145222496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 121015145222496 in words is "one hundred twenty-one trillion, fifteen billion, one hundred forty-five million, two hundred twenty-two thousand, four hundred ninety-six".