33142132001112 has 128 divisors (see below), whose sum is σ = 89396009588160. Its totient is φ = 10200031395840.

The previous prime is 33142132001051. The next prime is 33142132001177. The reversal of 33142132001112 is 21110023124133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174042912 + ... + 174233232.

Almost surely, 2^{33142132001112} 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 33142132001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44698004794080).

33142132001112 is an abundant number, since it is smaller than the sum of its proper divisors (56253877587048).

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

33142132001112 is a wasteful number, since it uses less digits than its factorization.

33142132001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198453 (or 198449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 33142132001112 its reverse (21110023124133), we get a palindrome (54252155125245).

The spelling of 33142132001112 in words is "thirty-three trillion, one hundred forty-two billion, one hundred thirty-two million, one thousand, one hundred twelve".