121011611462352 has 60 divisors (see below), whose sum is σ = 364715551218564. Its totient is φ = 37234341987840.

The previous prime is 121011611462341. The next prime is 121011611462387. The reversal of 121011611462352 is 253264116110121.

121011611462352 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 1 + 611 + 4 + 6 + 2 + 35 + 2 = 666.

121011611462352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 69832696707216 + 51178914755136 = 8356596^2 + 7153944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32321475549 + ... + 32321479292.

Almost surely, 2^{121011611462352} is an apocalyptic number.

121011611462352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121011611462352 is an abundant number, since it is smaller than the sum of its proper divisors (243703939756212).

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

121011611462352 is a wasteful number, since it uses less digits than its factorization.

121011611462352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64642954868 (or 64642954859 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 121011611462352 its reverse (253264116110121), we get a palindrome (374275727572473).

The spelling of 121011611462352 in words is "one hundred twenty-one trillion, eleven billion, six hundred eleven million, four hundred sixty-two thousand, three hundred fifty-two".