121220100000 has 324 divisors, whose sum is σ = 432049233798. Its totient is φ = 32237280000.

The previous prime is 121220099993. The next prime is 121220100007. The reversal of 121220100000 is 1022121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (121220099993) and next prime (121220100007).

It can be written as a sum of positive squares in 3 ways, for example, as 174556944 + 121045543056 = 13212^2 + 347916^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121220100007) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 330299817 + ... + 330300183.

Almost surely, 2^121220100000 is an apocalyptic number.

121220100000 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 121220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216024616899).

121220100000 is an abundant number, since it is smaller than the sum of its proper divisors (310829133798).

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

121220100000 is an frugal number, since it uses more digits than its factorization.

121220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 377 counting only the distinct ones).

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

Adding to 121220100000 its reverse (1022121), we get a palindrome (121221122121).

The spelling of 121220100000 in words is "one hundred twenty-one billion, two hundred twenty million, one hundred thousand".