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121441132096 = 267325993393
BaseRepresentation
bin111000100011001110…
…1001001111001000000
3102121110102220201002021
41301012131021321000
53442202412211341
6131442252531224
711526265406464
oct1610635117100
9377412821067
10121441132096
1147559397a89
121b652480b14
13b5b4937a5b
145c408c44a4
15325b7729d1
hex1c46749e40

121441132096 has 28 divisors (see below), whose sum is σ = 244285916812. Its totient is φ = 59888775168.

The previous prime is 121441132093. The next prime is 121441132123. The reversal of 121441132096 is 690231144121.

121441132096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 97643750400 + 23797381696 = 312480^2 + 154264^2 .

It is not an unprimeable number, because it can be changed into a prime (121441132093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12992025 + ... + 13001368.

It is an arithmetic number, because the mean of its divisors is an integer number (8724497029).

Almost surely, 2121441132096 is an apocalyptic number.

121441132096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121441132096 is an abundant number, since it is smaller than the sum of its proper divisors (122844784716).

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

121441132096 is an equidigital number, since it uses as much as digits as its factorization.

121441132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25993478 (or 25993468 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 121441132096 in words is "one hundred twenty-one billion, four hundred forty-one million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 25993393 51986786 103973572 207947144 415894288 831788576 1663577152 1897517689 3795035378 7590070756 15180141512 30360283024 60720566048 121441132096