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1121810144000 = 28537131723143
BaseRepresentation
bin10000010100110001000…
…110000101101100000000
310222020120212200212201212
4100110301012011230000
5121334431344102000
62215204044345252
7144022333615130
oct20246106055400
93866525625655
101121810144000
113a2836642a97
121614b7b45228
1381a2b4b5220
143c41dd46ac0
151e2aa5cac35
hex10531185b00

1121810144000 has 1728 divisors, whose sum is σ = 3859264561152. Its totient is φ = 315850752000.

The previous prime is 1121810143981. The next prime is 1121810144041. The reversal of 1121810144000 is 4410181211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26088607979 + ... + 26088608021.

Almost surely, 21121810144000 is an apocalyptic number.

1121810144000 is a gapful number since it is divisible by the number (10) 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 1121810144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929632280576).

1121810144000 is an abundant number, since it is smaller than the sum of its proper divisors (2737454417152).

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

1121810144000 is a wasteful number, since it uses less digits than its factorization.

1121810144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 1121810144000 in words is "one trillion, one hundred twenty-one billion, eight hundred ten million, one hundred forty-four thousand".