120001133400 has 192 divisors, whose sum is σ = 394118524800. Its totient is φ = 30100162560.

The previous prime is 120001133389. The next prime is 120001133411. The reversal of 120001133400 is 4331100021.

It is an interprime number because it is at equal distance from previous prime (120001133389) and next prime (120001133411).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120001133400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29975799 + ... + 29979801.

It is an arithmetic number, because the mean of its divisors is an integer number (2052700650).

Almost surely, 2^120001133400 is an apocalyptic number.

120001133400 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 120001133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197059262400).

120001133400 is an abundant number, since it is smaller than the sum of its proper divisors (274117391400).

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

120001133400 is a wasteful number, since it uses less digits than its factorization.

120001133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120001133400 its reverse (4331100021), we get a palindrome (124332233421).

The spelling of 120001133400 in words is "one hundred twenty billion, one million, one hundred thirty-three thousand, four hundred".