33412131121200 has 480 divisors, whose sum is σ = 115946962919424. Its totient is φ = 8175849246720.

The previous prime is 33412131121163. The next prime is 33412131121207. The reversal of 33412131121200 is 212113121433.

It is a super-2 number, since 2×33412131121200² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33412131121207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2549953849 + ... + 2549966951.

Almost surely, 2^{33412131121200} is an apocalyptic number.

33412131121200 is a gapful number since it is divisible by the number (30) 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 33412131121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57973481459712).

33412131121200 is an abundant number, since it is smaller than the sum of its proper divisors (82534831798224).

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

33412131121200 is a wasteful number, since it uses less digits than its factorization.

33412131121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14093 (or 14082 counting only the distinct ones).

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

Adding to 33412131121200 its reverse (212113121433), we get a palindrome (33624244242633).

The spelling of 33412131121200 in words is "thirty-three trillion, four hundred twelve billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred".