120254401030400 has 1296 divisors, whose sum is σ = 396132186542400. Its totient is φ = 35722162667520.

The previous prime is 120254401030373. The next prime is 120254401030429. The reversal of 120254401030400 is 4030104452021.

It is a super-2 number, since 2×120254401030400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 120254401030400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8443045679 + ... + 8443059921.

Almost surely, 2^{120254401030400} is an apocalyptic number.

120254401030400 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 120254401030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198066093271200).

120254401030400 is an abundant number, since it is smaller than the sum of its proper divisors (275877785512000).

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

120254401030400 is a wasteful number, since it uses less digits than its factorization.

120254401030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14398 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 120254401030400 its reverse (4030104452021), we get a palindrome (124284505482421).

The spelling of 120254401030400 in words is "one hundred twenty trillion, two hundred fifty-four billion, four hundred one million, thirty thousand, four hundred".