33010121120 has 96 divisors (see below), whose sum is σ = 79161319440. Its totient is φ = 13005619200.

The previous prime is 33010121083. The next prime is 33010121171. The reversal of 33010121120 is 2112101033.

It can be written as a sum of positive squares in 8 ways, for example, as 12231475216 + 20778645904 = 110596^2 + 144148^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33010121095 and 33010121104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11783720 + ... + 11786520.

Almost surely, 2^33010121120 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 33010121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580659720).

33010121120 is an abundant number, since it is smaller than the sum of its proper divisors (46151198320).

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

33010121120 is a wasteful number, since it uses less digits than its factorization.

33010121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 33010121120 its reverse (2112101033), we get a palindrome (35122222153).

The spelling of 33010121120 in words is "thirty-three billion, ten million, one hundred twenty-one thousand, one hundred twenty".