121328623416 has 768 divisors, whose sum is σ = 440158924800. Its totient is φ = 27022786560.

The previous prime is 121328623363. The next prime is 121328623463. The reversal of 121328623416 is 614326823121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 507651025 + ... + 507651263.

It is an arithmetic number, because the mean of its divisors is an integer number (573123600).

Almost surely, 2^121328623416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121328623416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220079462400).

121328623416 is an abundant number, since it is smaller than the sum of its proper divisors (318830301384).

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

121328623416 is a wasteful number, since it uses less digits than its factorization.

121328623416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 121328623416 in words is "one hundred twenty-one billion, three hundred twenty-eight million, six hundred twenty-three thousand, four hundred sixteen".