83122222100112 has 360 divisors, whose sum is σ = 254144850081408. Its totient is φ = 25348503398400.

The previous prime is 83122222100107. The next prime is 83122222100201. The reversal of 83122222100112 is 21100122222138.

83122222100112 is a `hidden beast` number, since 8 + 312 + 2 + 22 + 210 + 0 + 112 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2103754437 + ... + 2103793947.

Almost surely, 2^{83122222100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83122222100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127072425040704).

83122222100112 is an abundant number, since it is smaller than the sum of its proper divisors (171022627981296).

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

83122222100112 is a wasteful number, since it uses less digits than its factorization.

83122222100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40319 (or 40297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 83122222100112 in words is "eighty-three trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".