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122621107296 = 2531277303201
BaseRepresentation
bin111001000110011001…
…0011001110001100000
3102201111200020122202110
41302030302121301200
54002112000413141
6132155323515320
711600444133432
oct1621462316140
9381450218673
10122621107296
11480044668a6
121b921688b40
13b74223a72c
145d134c0652
1532ca154e16
hex1c8cc99c60

122621107296 has 24 divisors (see below), whose sum is σ = 321880406904. Its totient is φ = 40873702400.

The previous prime is 122621107237. The next prime is 122621107333. The reversal of 122621107296 is 692701126221.

122621107296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638651505 + ... + 638651696.

It is an arithmetic number, because the mean of its divisors is an integer number (13411683621).

Almost surely, 2122621107296 is an apocalyptic number.

122621107296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122621107296 is an abundant number, since it is smaller than the sum of its proper divisors (199259299608).

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

122621107296 is a wasteful number, since it uses less digits than its factorization.

122621107296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277303214 (or 1277303206 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 122621107296 in words is "one hundred twenty-two billion, six hundred twenty-one million, one hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1277303201 2554606402 3831909603 5109212804 7663819206 10218425608 15327638412 20436851216 30655276824 40873702432 61310553648 122621107296