10120033000 has 256 divisors, whose sum is σ = 29738741760. Its totient is φ = 3131424000.

The previous prime is 10120032983. The next prime is 10120033043. The reversal of 10120033000 is 33002101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12858607 + ... + 12859393.

It is an arithmetic number, because the mean of its divisors is an integer number (116166960).

Almost surely, 2^10120033000 is an apocalyptic number.

10120033000 is a gapful number since it is divisible by the number (10) 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 10120033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869370880).

10120033000 is an abundant number, since it is smaller than the sum of its proper divisors (19618708760).

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

10120033000 is a wasteful number, since it uses less digits than its factorization.

10120033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10120033000 its reverse (33002101), we get a palindrome (10153035101).

The spelling of 10120033000 in words is "ten billion, one hundred twenty million, thirty-three thousand".