33212001223120 has 40 divisors (see below), whose sum is σ = 79101266335560. Its totient is φ = 12960780963840.

The previous prime is 33212001223109. The next prime is 33212001223207. The reversal of 33212001223120 is 2132210021233.

It can be written as a sum of positive squares in 4 ways, for example, as 1153802519104 + 32058198704016 = 1074152^2 + 5661996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33212001223120² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33212001223091 and 33212001223100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5062801785 + ... + 5062808344.

It is an arithmetic number, because the mean of its divisors is an integer number (1977531658389).

Almost surely, 2^{33212001223120} is an apocalyptic number.

It is an amenable number.

33212001223120 is an abundant number, since it is smaller than the sum of its proper divisors (45889265112440).

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

33212001223120 is a wasteful number, since it uses less digits than its factorization.

33212001223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10125610183 (or 10125610177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 33212001223120 its reverse (2132210021233), we get a palindrome (35344211244353).

The spelling of 33212001223120 in words is "thirty-three trillion, two hundred twelve billion, one million, two hundred twenty-three thousand, one hundred twenty".