121026423442401 has 27 divisors (see below), whose sum is σ = 176806530115059. Its totient is φ = 79775781113952.

The previous prime is 121026423442399. The next prime is 121026423442409. The reversal of 121026423442401 is 104244324620121.

The square root of 121026423442401 is 11001201.

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

121026423442401 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 642 + 3 + 4 + 4 + 2 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23239640204001 + 97786783238400 = 4820751^2 + 9888720^2 .

It is not a de Polignac number, because 121026423442401 - 2¹ = 121026423442399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121026423442409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2937300066 + ... + 2937341268.

Almost surely, 2^{121026423442401} is an apocalyptic number.

121026423442401 is the 11001201-st square number.

121026423442401 is the 5500601-st centered octagonal number.

It is an amenable number.

121026423442401 is a deficient number, since it is larger than the sum of its proper divisors (55780106672658).

121026423442401 is an frugal number, since it uses more digits than its factorization.

121026423442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82590 (or 41295 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 121026423442401 in words is "one hundred twenty-one trillion, twenty-six billion, four hundred twenty-three million, four hundred forty-two thousand, four hundred one".