121315264014 has 64 divisors (see below), whose sum is σ = 287328153600. Its totient is φ = 33410942208.

The previous prime is 121315264001. The next prime is 121315264019. The reversal of 121315264014 is 410462513121.

It is a super-3 number, since 3×121315264014³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121315264019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657282 + ... + 821370.

It is an arithmetic number, because the mean of its divisors is an integer number (4489502400).

Almost surely, 2^121315264014 is an apocalyptic number.

121315264014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121315264014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143664076800).

121315264014 is an abundant number, since it is smaller than the sum of its proper divisors (166012889586).

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

121315264014 is a wasteful number, since it uses less digits than its factorization.

121315264014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164737.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 121315264014 its reverse (410462513121), we get a palindrome (531777777135).

The spelling of 121315264014 in words is "one hundred twenty-one billion, three hundred fifteen million, two hundred sixty-four thousand, fourteen".