121122010000 has 100 divisors (see below), whose sum is σ = 296962441600. Its totient is φ = 47835216000.

The previous prime is 121122009977. The next prime is 121122010039. The reversal of 121122010000 is 10221121.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 713341 + ... + 866659.

It is an arithmetic number, because the mean of its divisors is an integer number (2969624416).

Almost surely, 2^121122010000 is an apocalyptic number.

121122010000 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 121122010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148481220800).

121122010000 is an abundant number, since it is smaller than the sum of its proper divisors (175840431600).

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

121122010000 is an equidigital number, since it uses as much as digits as its factorization.

121122010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153426 (or 153405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121122010000 its reverse (10221121), we get a palindrome (121132231121).

The spelling of 121122010000 in words is "one hundred twenty-one billion, one hundred twenty-two million, ten thousand".