201081187200 has 384 divisors, whose sum is σ = 680376140640. Its totient is φ = 52166656000.

The previous prime is 201081187133. The next prime is 201081187211. The reversal of 201081187200 is 2781180102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×201081187200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252297202 + ... + 252297998.

Almost surely, 2^201081187200 is an apocalyptic number.

201081187200 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 201081187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340188070320).

201081187200 is an abundant number, since it is smaller than the sum of its proper divisors (479294953440).

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

201081187200 is a wasteful number, since it uses less digits than its factorization.

201081187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 201081187200 in words is "two hundred one billion, eighty-one million, one hundred eighty-seven thousand, two hundred".