121025664 has 112 divisors (see below), whose sum is σ = 361772070. Its totient is φ = 40310784.

The previous prime is 121025657. The next prime is 121025689. The reversal of 121025664 is 466520121.

It can be written as a sum of positive squares in only one way, i.e., 63872064 + 57153600 = 7992^2 + 7560^2 .

It is a super-2 number, since 2×121025664² = 29294422693281792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92664 + ... + 93960.

Almost surely, 2^121025664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180886035).

121025664 is an abundant number, since it is smaller than the sum of its proper divisors (240746406).

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

121025664 is an frugal number, since it uses more digits than its factorization.

121025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 121025664 is about 11001.1664836053. The cubic root of 121025664 is about 494.6437105549.

Adding to 121025664 its reverse (466520121), we get a palindrome (587545785).

It can be divided in two parts, 12102 and 5664, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 121025664 in words is "one hundred twenty-one million, twenty-five thousand, six hundred sixty-four".