121242121 has 45 divisors (see below), whose sum is σ = 167991255. Its totient is φ = 87207120.

The previous prime is 121242101. The next prime is 121242137.

The square root of 121242121 is 11011.

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

121242121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 17935225 + 103306896 = 4235^2 + 10164^2 .

It is not a de Polignac number, because 121242121 - 2¹⁵ = 121209353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121242095 and 121242104.

It is not an unprimeable number, because it can be changed into a prime (121242101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9326311 + ... + 9326323.

It is an arithmetic number, because the mean of its divisors is an integer number (3733139).

Almost surely, 2^121242121 is an apocalyptic number.

121242121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121242121 is the 11011-st square number.

121242121 is the 5506-th centered octagonal number.

It is an amenable number.

121242121 is a deficient number, since it is larger than the sum of its proper divisors (46749134).

121242121 is an frugal number, since it uses more digits than its factorization.

121242121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 31 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The cubic root of 121242121 is about 494.9384285556.

Multiplying 121242121 by its sum of digits (16), we get a square (1939873936 = 44044²).

Multiplying 121242121 by its product of digits (64), we get a square (7759495744 = 88088²).

It can be divided in two parts, 121 and 242121, that added together give a palindrome (242242).

The spelling of 121242121 in words is "one hundred twenty-one million, two hundred forty-two thousand, one hundred twenty-one".