120140213042400 has 288 divisors, whose sum is σ = 392458679474400. Its totient is φ = 31922545582080.

The previous prime is 120140213042357. The next prime is 120140213042453. The reversal of 120140213042400 is 4240312041021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5589726054 + ... + 5589747546.

It is an arithmetic number, because the mean of its divisors is an integer number (1362703748175).

Almost surely, 2^{120140213042400} is an apocalyptic number.

120140213042400 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 120140213042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196229339737200).

120140213042400 is an abundant number, since it is smaller than the sum of its proper divisors (272318466432000).

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

120140213042400 is a wasteful number, since it uses less digits than its factorization.

120140213042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29758 (or 29745 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120140213042400 its reverse (4240312041021), we get a palindrome (124380525083421).

The spelling of 120140213042400 in words is "one hundred twenty trillion, one hundred forty billion, two hundred thirteen million, forty-two thousand, four hundred".