11100890467212 has 384 divisors, whose sum is σ = 32523142299648. Its totient is φ = 2869306675200.

The previous prime is 11100890467201. The next prime is 11100890467223. The reversal of 11100890467212 is 21276409800111.

It is an interprime number because it is at equal distance from previous prime (11100890467201) and next prime (11100890467223).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8156421412 + ... + 8156422772.

It is an arithmetic number, because the mean of its divisors is an integer number (84695683072).

Almost surely, 2^{11100890467212} is an apocalyptic number.

11100890467212 is a gapful number since it is divisible by the number (12) 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 11100890467212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261571149824).

11100890467212 is an abundant number, since it is smaller than the sum of its proper divisors (21422251832436).

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

11100890467212 is a wasteful number, since it uses less digits than its factorization.

11100890467212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 11100890467212 in words is "eleven trillion, one hundred billion, eight hundred ninety million, four hundred sixty-seven thousand, two hundred twelve".