120146029158400 has 336 divisors, whose sum is σ = 341774313615360. Its totient is φ = 41039659008000.

The previous prime is 120146029158373. The next prime is 120146029158409. The reversal of 120146029158400 is 4851920641021.

It is a super-2 number, since 2×120146029158400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120146029158409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385482625 + ... + 385794175.

Almost surely, 2^{120146029158400} is an apocalyptic number.

120146029158400 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 120146029158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170887156807680).

120146029158400 is an abundant number, since it is smaller than the sum of its proper divisors (221628284456960).

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

120146029158400 is an equidigital number, since it uses as much as digits as its factorization.

120146029158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311863 (or 311834 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

Adding to 120146029158400 its reverse (4851920641021), we get a palindrome (124997949799421).

The spelling of 120146029158400 in words is "one hundred twenty trillion, one hundred forty-six billion, twenty-nine million, one hundred fifty-eight thousand, four hundred".