121026400 has 144 divisors (see below), whose sum is σ = 341696880. Its totient is φ = 41369600.

The previous prime is 121026377. The next prime is 121026407. The reversal of 121026400 is 4620121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121026407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149196 + ... + 150004.

It is an arithmetic number, because the mean of its divisors is an integer number (2372895).

Almost surely, 2^121026400 is an apocalyptic number.

121026400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170848440).

121026400 is an abundant number, since it is smaller than the sum of its proper divisors (220670480).

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

121026400 is a wasteful number, since it uses less digits than its factorization.

121026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

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

The square root of 121026400 is about 11001.1999345526. The cubic root of 121026400 is about 494.6447132541.

Adding to 121026400 its reverse (4620121), we get a palindrome (125646521).

The spelling of 121026400 in words is "one hundred twenty-one million, twenty-six thousand, four hundred".