201211219272960 has 1728 divisors, whose sum is σ = 819612997916160. Its totient is φ = 46457133465600.

The previous prime is 201211219272949. The next prime is 201211219272983. The reversal of 201211219272960 is 69272912112102.

201211219272960 is a `hidden beast` number, since 2 + 0 + 121 + 1 + 219 + 27 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×201211219272960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40640518485 + ... + 40640523435.

Almost surely, 2^{201211219272960} is an apocalyptic number.

201211219272960 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 201211219272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409806498958080).

201211219272960 is an abundant number, since it is smaller than the sum of its proper divisors (618401778643200).

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

201211219272960 is a wasteful number, since it uses less digits than its factorization.

201211219272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 201211219272960 in words is "two hundred one trillion, two hundred eleven billion, two hundred nineteen million, two hundred seventy-two thousand, nine hundred sixty".