11220101112000 has 896 divisors, whose sum is σ = 42476111428608. Its totient is φ = 2584866816000.

The previous prime is 11220101111893. The next prime is 11220101112029. The reversal of 11220101112000 is 21110102211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420010644 + ... + 420037356.

Almost surely, 2^{11220101112000} is an apocalyptic number.

11220101112000 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 11220101112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21238055714304).

11220101112000 is an abundant number, since it is smaller than the sum of its proper divisors (31256010316608).

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

11220101112000 is a wasteful number, since it uses less digits than its factorization.

11220101112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26834 (or 26814 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11220101112000 its reverse (21110102211), we get a palindrome (11241211214211).

The spelling of 11220101112000 in words is "eleven trillion, two hundred twenty billion, one hundred one million, one hundred twelve thousand".