123212401 has 16 divisors (see below), whose sum is σ = 135550800. Its totient is φ = 111310848.

The previous prime is 123212389. The next prime is 123212423. The reversal of 123212401 is 104212321.

It can be written as a sum of positive squares in 8 ways, for example, as 2401 + 123210000 = 49^2 + 11100^2 .

It is a cyclic number.

It is not a de Polignac number, because 123212401 - 2⁷ = 123212273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123212471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125625 + ... + 126601.

It is an arithmetic number, because the mean of its divisors is an integer number (8471925).

Almost surely, 2^123212401 is an apocalyptic number.

It is an amenable number.

123212401 is a deficient number, since it is larger than the sum of its proper divisors (12338399).

123212401 is a wasteful number, since it uses less digits than its factorization.

123212401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 123212401 is about 11100.1081526263. The cubic root of 123212401 is about 497.6050817146.

Adding to 123212401 its reverse (104212321), we get a palindrome (227424722).

It can be divided in two parts, 12321 and 2401, that multiplied together give a square (29582721 = 5439²).

The spelling of 123212401 in words is "one hundred twenty-three million, two hundred twelve thousand, four hundred one".