1211011881408 has 1680 divisors, whose sum is σ = 4699690839360. Its totient is φ = 305743527936.

The previous prime is 1211011881361. The next prime is 1211011881419. The reversal of 1211011881408 is 8041881101121.

1211011881408 is a `hidden beast` number, since 121 + 10 + 118 + 8 + 1 + 408 = 666.

It is a super-2 number, since 2×1211011881408² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8839502716 + ... + 8839502852.

Almost surely, 2^{1211011881408} is an apocalyptic number.

1211011881408 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 1211011881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349845419680).

1211011881408 is an abundant number, since it is smaller than the sum of its proper divisors (3488678957952).

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

1211011881408 is a wasteful number, since it uses less digits than its factorization.

1211011881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 36.

Adding to 1211011881408 its reverse (8041881101121), we get a palindrome (9252892982529).

The spelling of 1211011881408 in words is "one trillion, two hundred eleven billion, eleven million, eight hundred eighty-one thousand, four hundred eight".