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112332021312000 = 2935371937118891
BaseRepresentation
bin11001100010101001010110…
…001110100010101000000000
3112201201211120201001211222210
4121202221112032202220000
5104210421434423441000
61034524341305502120
732442502130563110
oct3142512616425000
9481654521054883
10112332021312000
11328798195a4996
12107228467a1940
134a8ab30726209
141da4c825c3040
15cec03119a350
hex662a563a2a00

112332021312000 has 1280 divisors, whose sum is σ = 461441271582720. Its totient is φ = 23666909184000.

The previous prime is 112332021311987. The next prime is 112332021312011. The reversal of 112332021312000 is 213120233211.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 944772555 + ... + 944891445.

It is an arithmetic number, because the mean of its divisors is an integer number (360500993424).

Almost surely, 2112332021312000 is an apocalyptic number.

112332021312000 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 112332021312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230720635791360).

112332021312000 is an abundant number, since it is smaller than the sum of its proper divisors (349109250270720).

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

112332021312000 is a wasteful number, since it uses less digits than its factorization.

112332021312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118990 (or 118964 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112332021312000 its reverse (213120233211), we get a palindrome (112545141545211).

The spelling of 112332021312000 in words is "one hundred twelve trillion, three hundred thirty-two billion, twenty-one million, three hundred twelve thousand".