120033402101300 has 108 divisors (see below), whose sum is σ = 276857701105860. Its totient is φ = 45162585108480.

The previous prime is 120033402101281. The next prime is 120033402101303. The reversal of 120033402101300 is 3101204330021.

It can be written as a sum of positive squares in 18 ways, for example, as 27797316003856 + 92236086097444 = 5272316^2 + 9603962^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120033402101303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48174944 + ... + 50605256.

Almost surely, 2^{120033402101300} is an apocalyptic number.

120033402101300 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 120033402101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138428850552930).

120033402101300 is an abundant number, since it is smaller than the sum of its proper divisors (156824299004560).

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

120033402101300 is a wasteful number, since it uses less digits than its factorization.

120033402101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432070 (or 2432046 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120033402101300 its reverse (3101204330021), we get a palindrome (123134606431321).

The spelling of 120033402101300 in words is "one hundred twenty trillion, thirty-three billion, four hundred two million, one hundred one thousand, three hundred".