121351206025 has 81 divisors (see below), whose sum is σ = 180572940639. Its totient is φ = 80662296960.

The previous prime is 121351205981. The next prime is 121351206037. The reversal of 121351206025 is 520602153121.

The square root of 121351206025 is 348355.

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

It can be written as a sum of positive squares in 13 ways, for example, as 85725398521 + 35625807504 = 292789^2 + 188748^2 .

It is not a de Polignac number, because 121351206025 - 2²³ = 121342817417 is a prime.

It is a super-2 number, since 2×121351206025² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121351205984 and 121351206002.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 451119591 + ... + 451119859.

Almost surely, 2^121351206025 is an apocalyptic number.

121351206025 is the 348355-th square number.

121351206025 is the 174178-th centered octagonal number.

It is an amenable number.

121351206025 is a deficient number, since it is larger than the sum of its proper divisors (59221734614).

121351206025 is an frugal number, since it uses more digits than its factorization.

121351206025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Multiplying 121351206025 by its product of nonzero digits (3600), we get a square (436864341690000 = 20901300²).

Adding to 121351206025 its reverse (520602153121), we get a palindrome (641953359146).

The spelling of 121351206025 in words is "one hundred twenty-one billion, three hundred fifty-one million, two hundred six thousand, twenty-five".