11001211002120 has 64 divisors (see below), whose sum is σ = 33005981917440. Its totient is φ = 2933447475200.

The previous prime is 11001211002059. The next prime is 11001211002169. The reversal of 11001211002120 is 2120011210011.

It is a super-2 number, since 2×11001211002120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11001211002096 and 11001211002105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1565616 + ... + 4945055.

It is an arithmetic number, because the mean of its divisors is an integer number (515718467460).

Almost surely, 2^{11001211002120} is an apocalyptic number.

11001211002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001211002120 is an abundant number, since it is smaller than the sum of its proper divisors (22004770915320).

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

11001211002120 is a wasteful number, since it uses less digits than its factorization.

11001211002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524766 (or 6524762 counting only the distinct ones).

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

Adding to 11001211002120 its reverse (2120011210011), we get a palindrome (13121222212131).

The spelling of 11001211002120 in words is "eleven trillion, one billion, two hundred eleven million, two thousand, one hundred twenty".