12121011000000 has 1176 divisors, whose sum is σ = 49858529927648. Its totient is φ = 2757888000000.

The previous prime is 12121010999971. The next prime is 12121011000031. The reversal of 12121011000000 is 11012121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 26522999772 + ... + 26523000228.

Almost surely, 2^{12121011000000} is an apocalyptic number.

12121011000000 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 12121011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24929264963824).

12121011000000 is an abundant number, since it is smaller than the sum of its proper divisors (37737518927648).

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

12121011000000 is an frugal number, since it uses more digits than its factorization.

12121011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12121011000000 its reverse (11012121), we get a palindrome (12121022012121).

The spelling of 12121011000000 in words is "twelve trillion, one hundred twenty-one billion, eleven million", and thus it is an aban number.