121658649890404 has 81 divisors (see below), whose sum is σ = 237945133357113. Its totient is φ = 54386221058400.

The previous prime is 121658649890399. The next prime is 121658649890419. The reversal of 121658649890404 is 404098946856121.

The square root of 121658649890404 is 11029898.

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

It can be written as a sum of positive squares in only one way, i.e., 3956113044004 + 117702536846400 = 1988998^2 + 10849080^2 .

It is a super-2 number, since 2×121658649890404² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121658649890404.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14802119007 + ... + 14802127225.

Almost surely, 2^{121658649890404} is an apocalyptic number.

121658649890404 is the 11029898-th square number.

It is an amenable number.

121658649890404 is a deficient number, since it is larger than the sum of its proper divisors (116286483466709).

121658649890404 is an frugal number, since it uses more digits than its factorization.

121658649890404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16586 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 67.

The spelling of 121658649890404 in words is "one hundred twenty-one trillion, six hundred fifty-eight billion, six hundred forty-nine million, eight hundred ninety thousand, four hundred four".