201241309248000 has 3840 divisors, whose sum is σ = 901899330748416. Its totient is φ = 43761387110400.

The previous prime is 201241309247999. The next prime is 201241309248043. The reversal of 201241309248000 is 842903142102.

201241309248000 is a `hidden beast` number, since 20 + 1 + 2 + 41 + 30 + 92 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 189314495469 + ... + 189314496531.

Almost surely, 2^{201241309248000} is an apocalyptic number.

201241309248000 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 201241309248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450949665374208).

201241309248000 is an abundant number, since it is smaller than the sum of its proper divisors (700658021500416).

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

201241309248000 is an equidigital number, since it uses as much as digits as its factorization.

201241309248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 201241309248000 in words is "two hundred one trillion, two hundred forty-one billion, three hundred nine million, two hundred forty-eight thousand".