121919220000 has 270 divisors, whose sum is σ = 433773106767. Its totient is φ = 32472288000.

The previous prime is 121919219987. The next prime is 121919220011. The reversal of 121919220000 is 22919121.

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 can be written as a sum of positive squares in 3 ways, for example, as 28187723664 + 93731496336 = 167892^2 + 306156^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=246900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148139589 + ... + 148140411.

Almost surely, 2^121919220000 is an apocalyptic number.

121919220000 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 121919220000

121919220000 is an abundant number, since it is smaller than the sum of its proper divisors (311853886767).

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

121919220000 is an frugal number, since it uses more digits than its factorization.

121919220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Multiplying 121919220000 by its product of nonzero digits (648), we get a square (79003654560000 = 8888400²).

The spelling of 121919220000 in words is "one hundred twenty-one billion, nine hundred nineteen million, two hundred twenty thousand".