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2123491120128 = 21033727919841
BaseRepresentation
bin11110111001101001111…
…011110001010000000000
321112000002202011201222000
4132321221323301100000
5234242402211321003
64303303544144000
7306263042464200
oct36715173612000
97460082151860
102123491120128
11749627418154
122a3668a68000
13125323ac92a1
1474ac5722400
153a3846d91a3
hex1ee69ef1400

2123491120128 has 528 divisors, whose sum is σ = 7408463097600. Its totient is φ = 599001661440.

The previous prime is 2123491120117. The next prime is 2123491120187. The reversal of 2123491120128 is 8210211943212.

It is a happy number.

2123491120128 is a `hidden beast` number, since 2 + 1 + 23 + 491 + 1 + 20 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2123491120092 and 2123491120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107015488 + ... + 107035328.

Almost surely, 22123491120128 is an apocalyptic number.

2123491120128 is a gapful number since it is divisible by the number (28) 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 2123491120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704231548800).

2123491120128 is an abundant number, since it is smaller than the sum of its proper divisors (5284971977472).

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

2123491120128 is a wasteful number, since it uses less digits than its factorization.

2123491120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19963 (or 19932 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2123491120128 in words is "two trillion, one hundred twenty-three billion, four hundred ninety-one million, one hundred twenty thousand, one hundred twenty-eight".