1211731040520 has 1152 divisors, whose sum is σ = 5452275628800. Its totient is φ = 226982891520.

The previous prime is 1211731040503. The next prime is 1211731040561. The reversal of 1211731040520 is 250401371121.

1211731040520 is a `hidden beast` number, since 1 + 21 + 1 + 73 + 10 + 40 + 520 = 666.

It is a super-2 number, since 2×1211731040520² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170446726 + ... + 170453834.

It is an arithmetic number, because the mean of its divisors is an integer number (4732878150).

Almost surely, 2^{1211731040520} is an apocalyptic number.

1211731040520 is a gapful number since it is divisible by the number (10) 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 1211731040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726137814400).

1211731040520 is an abundant number, since it is smaller than the sum of its proper divisors (4240544588280).

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

1211731040520 is a wasteful number, since it uses less digits than its factorization.

1211731040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7211 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1211731040520 in words is "one trillion, two hundred eleven billion, seven hundred thirty-one million, forty thousand, five hundred twenty".