121611358284516 has 135 divisors (see below), whose sum is σ = 328518911964243. Its totient is φ = 39227485418640.

The previous prime is 121611358284497. The next prime is 121611358284527. The reversal of 121611358284516 is 615482853116121.

The square root of 121611358284516 is 11027754.

It is a perfect power (a square), and thus also a powerful number.

121611358284516 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 1 + 1 + 3 + 582 + 8 + 4 + 51 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6153476851 + ... + 6153496613.

Almost surely, 2^{121611358284516} is an apocalyptic number.

121611358284516 is the 11027754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121611358284516

121611358284516 is an abundant number, since it is smaller than the sum of its proper divisors (206907553679727).

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

121611358284516 is an frugal number, since it uses more digits than its factorization.

121611358284516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39604 (or 19799 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 121611358284516 in words is "one hundred twenty-one trillion, six hundred eleven billion, three hundred fifty-eight million, two hundred eighty-four thousand, five hundred sixteen".