120511150400 has 252 divisors, whose sum is σ = 319085976000. Its totient is φ = 44781035520.

The previous prime is 120511150343. The next prime is 120511150447. The reversal of 120511150400 is 4051115021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36527951 + ... + 36531249.

Almost surely, 2^120511150400 is an apocalyptic number.

120511150400 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 120511150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159542988000).

120511150400 is an abundant number, since it is smaller than the sum of its proper divisors (198574825600).

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

120511150400 is a wasteful number, since it uses less digits than its factorization.

120511150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 120511150400 its reverse (4051115021), we get a palindrome (124562265421).

The spelling of 120511150400 in words is "one hundred twenty billion, five hundred eleven million, one hundred fifty thousand, four hundred".