121314703104 has 540 divisors, whose sum is σ = 423031873264. Its totient is φ = 33867030528.

The previous prime is 121314703073. The next prime is 121314703121. The reversal of 121314703104 is 401307413121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1133782219 + ... + 1133782325.

Almost surely, 2^121314703104 is an apocalyptic number.

121314703104 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 121314703104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211515936632).

121314703104 is an abundant number, since it is smaller than the sum of its proper divisors (301717170160).

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

121314703104 is an frugal number, since it uses more digits than its factorization.

121314703104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 121314703104 in words is "one hundred twenty-one billion, three hundred fourteen million, seven hundred three thousand, one hundred four".