121442144400 has 240 divisors, whose sum is σ = 432896211520. Its totient is φ = 32335718400.

The previous prime is 121442144377. The next prime is 121442144441. The reversal of 121442144400 is 4441244121.

It is a happy number.

121442144400 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 214 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7454664 + ... + 7470936.

Almost surely, 2^121442144400 is an apocalyptic number.

121442144400 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 121442144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216448105760).

121442144400 is an abundant number, since it is smaller than the sum of its proper divisors (311454067120).

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

121442144400 is a wasteful number, since it uses less digits than its factorization.

121442144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16991 (or 16974 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 121442144400 its reverse (4441244121), we get a palindrome (125883388521).

The spelling of 121442144400 in words is "one hundred twenty-one billion, four hundred forty-two million, one hundred forty-four thousand, four hundred".