215401305120000 has 360 divisors, whose sum is σ = 722712448786944. Its totient is φ = 56932012032000.

The previous prime is 215401305119951. The next prime is 215401305120013. The reversal of 215401305120000 is 21503104512.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 52254369 + ... + 56225631.

Almost surely, 2^{215401305120000} is an apocalyptic number.

215401305120000 is a gapful number since it is divisible by the number (20) 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 215401305120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361356224393472).

215401305120000 is an abundant number, since it is smaller than the sum of its proper divisors (507311143666944).

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

215401305120000 is an equidigital number, since it uses as much as digits as its factorization.

215401305120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971415 (or 3971386 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 215401305120000 its reverse (21503104512), we get a palindrome (215422808224512).

The spelling of 215401305120000 in words is "two hundred fifteen trillion, four hundred one billion, three hundred five million, one hundred twenty thousand".