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112421069280 = 253251318133179
BaseRepresentation
bin110100010110011010…
…0010110000111100000
3101202011211002001001200
41220230310112013200
53320214243204110
6123351233401200
711056620215322
oct1505464260740
9352154061050
10112421069280
114374a843313
1219955709200
13a7a7c81890
145626969612
152dce9316c0
hex1a2cd161e0

112421069280 has 288 divisors, whose sum is σ = 415442532960. Its totient is φ = 27519160320.

The previous prime is 112421069273. The next prime is 112421069281. The reversal of 112421069280 is 82960124211.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112421069281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3371731 + ... + 3404909.

It is an arithmetic number, because the mean of its divisors is an integer number (1442508795).

Almost surely, 2112421069280 is an apocalyptic number.

112421069280 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 112421069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207721266480).

112421069280 is an abundant number, since it is smaller than the sum of its proper divisors (303021463680).

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

112421069280 is a wasteful number, since it uses less digits than its factorization.

112421069280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33394 (or 33383 counting only the distinct ones).

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

The spelling of 112421069280 in words is "one hundred twelve billion, four hundred twenty-one million, sixty-nine thousand, two hundred eighty".