1211170641408 has 1800 divisors, whose sum is σ = 4817246176512. Its totient is φ = 300234719232.

The previous prime is 1211170641403. The next prime is 1211170641487. The reversal of 1211170641408 is 8041460711121.

It is a happy number.

1211170641408 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 7 + 0 + 641 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×1211170641408² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211170641403) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9536776641 + ... + 9536776767.

Almost surely, 2^{1211170641408} is an apocalyptic number.

1211170641408 is a gapful number since it is divisible by the number (18) 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 1211170641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408623088256).

1211170641408 is an abundant number, since it is smaller than the sum of its proper divisors (3606075535104).

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

1211170641408 is a wasteful number, since it uses less digits than its factorization.

1211170641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 1211170641408 in words is "one trillion, two hundred eleven billion, one hundred seventy million, six hundred forty-one thousand, four hundred eight".