11221121012000 has 96 divisors (see below), whose sum is σ = 27571437195120. Its totient is φ = 4488262348800.

The previous prime is 11221121011979. The next prime is 11221121012009. The reversal of 11221121012000 is 21012112211.

It can be written as a sum of positive squares in 8 ways, for example, as 13436519056 + 11207684492944 = 115916^2 + 3347788^2 .

It is not an unprimeable number, because it can be changed into a prime (11221121012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136586936 + ... + 136669064.

Almost surely, 2^{11221121012000} is an apocalyptic number.

11221121012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221121012000 is an abundant number, since it is smaller than the sum of its proper divisors (16350316183120).

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

11221121012000 is an equidigital number, since it uses as much as digits as its factorization.

11221121012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116311 (or 116293 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221121012000 its reverse (21012112211), we get a palindrome (11242133124211).

It can be divided in two parts, 112 and 21121012000, that added together give a palindrome (21121012112).

The spelling of 11221121012000 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, twelve thousand".