120300140113400 has 432 divisors, whose sum is σ = 330428261606040. Its totient is φ = 40675654656000.

The previous prime is 120300140113367. The next prime is 120300140113403. The reversal of 120300140113400 is 4311041003021.

It is a super-2 number, since 2×120300140113400² (a number of 29 digits) contains 22 as substring.

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 (120300140113403) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 361256975 + ... + 361589825.

Almost surely, 2^{120300140113400} is an apocalyptic number.

120300140113400 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 120300140113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165214130803020).

120300140113400 is an abundant number, since it is smaller than the sum of its proper divisors (210128121492640).

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

120300140113400 is a wasteful number, since it uses less digits than its factorization.

120300140113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332964 (or 332925 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 120300140113400 its reverse (4311041003021), we get a palindrome (124611181116421).

The spelling of 120300140113400 in words is "one hundred twenty trillion, three hundred billion, one hundred forty million, one hundred thirteen thousand, four hundred".