121760100000 has 1296 divisors, whose sum is σ = 551407645152. Its totient is φ = 25200000000.

The previous prime is 121760099969. The next prime is 121760100037. The reversal of 121760100000 is 1067121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 485099875 + ... + 485100125.

It is an arithmetic number, because the mean of its divisors is an integer number (425468862).

Almost surely, 2^121760100000 is an apocalyptic number.

121760100000 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 121760100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275703822576).

121760100000 is an abundant number, since it is smaller than the sum of its proper divisors (429647545152).

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

121760100000 is a wasteful number, since it uses less digits than its factorization.

121760100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 121760100000 its reverse (1067121), we get a palindrome (121761167121).

The spelling of 121760100000 in words is "one hundred twenty-one billion, seven hundred sixty million, one hundred thousand".