1211957354160 has 480 divisors, whose sum is σ = 4701741033600. Its totient is φ = 274042847232.

The previous prime is 1211957354159. The next prime is 1211957354171. The reversal of 1211957354160 is 614537591121.

1211957354160 is a `hidden beast` number, since 1 + 2 + 1 + 19 + 573 + 5 + 4 + 1 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351392116 + ... + 351395564.

It is an arithmetic number, because the mean of its divisors is an integer number (9795293820).

Almost surely, 2^{1211957354160} is an apocalyptic number.

1211957354160 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 1211957354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350870516800).

1211957354160 is an abundant number, since it is smaller than the sum of its proper divisors (3489783679440).

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

1211957354160 is a wasteful number, since it uses less digits than its factorization.

1211957354160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1211957354160 in words is "one trillion, two hundred eleven billion, nine hundred fifty-seven million, three hundred fifty-four thousand, one hundred sixty".