33244122434124 has 288 divisors, whose sum is σ = 95253943486464. Its totient is φ = 8837153095680.

The previous prime is 33244122434093. The next prime is 33244122434147. The reversal of 33244122434124 is 42143422144233.

It is a super-2 number, since 2×33244122434124² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2145189544 + ... + 2145205040.

It is an arithmetic number, because the mean of its divisors is an integer number (330742859328).

Almost surely, 2^{33244122434124} is an apocalyptic number.

33244122434124 is a gapful number since it is divisible by the number (34) 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 33244122434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47626971743232).

33244122434124 is an abundant number, since it is smaller than the sum of its proper divisors (62009821052340).

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

33244122434124 is a wasteful number, since it uses less digits than its factorization.

33244122434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16553 (or 16534 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

Adding to 33244122434124 its reverse (42143422144233), we get a palindrome (75387544578357).

The spelling of 33244122434124 in words is "thirty-three trillion, two hundred forty-four billion, one hundred twenty-two million, four hundred thirty-four thousand, one hundred twenty-four".