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112204984320 = 2123451121343
BaseRepresentation
bin110100001111111110…
…0000011000000000000
3101201121202110210020000
41220133330003000000
53314243433444240
6123313554120000
711051354426112
oct1503774030000
9351552423200
10112204984320
1143649874500
12198b5280000
13a772285160
145605d9b3b2
152dba99b430
hex1a1ff03000

112204984320 has 1560 divisors, whose sum is σ = 487198452048. Its totient is φ = 24524881920.

The previous prime is 112204984301. The next prime is 112204984373. The reversal of 112204984320 is 23489402211.

112204984320 is a `hidden beast` number, since 1 + 12 + 204 + 9 + 8 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2609418219 + ... + 2609418261.

Almost surely, 2112204984320 is an apocalyptic number.

112204984320 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 112204984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243599226024).

112204984320 is an abundant number, since it is smaller than the sum of its proper divisors (374993467728).

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

112204984320 is a wasteful number, since it uses less digits than its factorization.

112204984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 112204984320 in words is "one hundred twelve billion, two hundred four million, nine hundred eighty-four thousand, three hundred twenty".