121221430001133 has 384 divisors, whose sum is σ = 221125253529600. Its totient is φ = 58277880460800.

The previous prime is 121221430001131. The next prime is 121221430001167. The reversal of 121221430001133 is 331100034122121.

It is not a de Polignac number, because 121221430001133 - 2¹ = 121221430001131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221430001131) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36088545508 + ... + 36088548866.

It is an arithmetic number, because the mean of its divisors is an integer number (575847014400).

Almost surely, 2^{121221430001133} is an apocalyptic number.

It is an amenable number.

121221430001133 is a deficient number, since it is larger than the sum of its proper divisors (99903823528467).

121221430001133 is a wasteful number, since it uses less digits than its factorization.

121221430001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121221430001133 its reverse (331100034122121), we get a palindrome (452321464123254).

The spelling of 121221430001133 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, four hundred thirty million, one thousand, one hundred thirty-three".