121229728704 has 336 divisors, whose sum is σ = 438971801760. Its totient is φ = 32599203840.

The previous prime is 121229728693. The next prime is 121229728709. The reversal of 121229728704 is 407827922121.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 121229728704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121229728709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1397314 + ... + 1481534.

Almost surely, 2^121229728704 is an apocalyptic number.

121229728704 is a gapful number since it is divisible by the number (14) 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 121229728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219485900880).

121229728704 is an abundant number, since it is smaller than the sum of its proper divisors (317742073056).

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

121229728704 is a wasteful number, since it uses less digits than its factorization.

121229728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84273 (or 84250 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 121229728704 in words is "one hundred twenty-one billion, two hundred twenty-nine million, seven hundred twenty-eight thousand, seven hundred four".