272401230000 has 400 divisors, whose sum is σ = 907993848960. Its totient is φ = 70312704000.

The previous prime is 272401229987. The next prime is 272401230011. The reversal of 272401230000 is 32104272.

272401230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 118588852 + ... + 118591148.

Almost surely, 2^272401230000 is an apocalyptic number.

272401230000 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 272401230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453996924480).

272401230000 is an abundant number, since it is smaller than the sum of its proper divisors (635592618960).

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

272401230000 is a wasteful number, since it uses less digits than its factorization.

272401230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 272401230000 its reverse (32104272), we get a palindrome (272433334272).

The spelling of 272401230000 in words is "two hundred seventy-two billion, four hundred one million, two hundred thirty thousand".