121220100000000 has 729 divisors, whose sum is σ = 438077730293931. Its totient is φ = 32237280000000.

The previous prime is 121220099999939. The next prime is 121220100000031. The reversal of 121220100000000 is 1022121.

The square root of 121220100000000 is 11010000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86185823111424 + 35034276888576 = 9283632^2 + 5918976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 330299999817 + ... + 330300000183.

Almost surely, 2^{121220100000000} is an apocalyptic number.

121220100000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121220100000000 is the 11010000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220100000000

121220100000000 is an abundant number, since it is smaller than the sum of its proper divisors (316857630293931).

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

121220100000000 is an frugal number, since it uses more digits than its factorization.

121220100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121220100000000 its reverse (1022121), we get a palindrome (121220101022121).

The spelling of 121220100000000 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred million", and thus it is an aban number.