201211548000 has 192 divisors, whose sum is σ = 659670298560. Its totient is φ = 53615616000.

The previous prime is 201211547993. The next prime is 201211548019. The reversal of 201211548000 is 845112102.

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 31 ways as a sum of consecutive naturals, for example, 17862370 + ... + 17873630.

It is an arithmetic number, because the mean of its divisors is an integer number (3435782805).

Almost surely, 2^201211548000 is an apocalyptic number.

201211548000 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 201211548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329835149280).

201211548000 is an abundant number, since it is smaller than the sum of its proper divisors (458458750560).

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

201211548000 is a wasteful number, since it uses less digits than its factorization.

201211548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 201211548000 in words is "two hundred one billion, two hundred eleven million, five hundred forty-eight thousand".