121144401022200 has 192 divisors, whose sum is σ = 408385673652960. Its totient is φ = 29583115960320.

The previous prime is 121144401022157. The next prime is 121144401022243. The reversal of 121144401022200 is 2220104441121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121144401022157) and next prime (121144401022243).

It is a super-3 number, since 3×121144401022200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160121277 + ... + 160876076.

Almost surely, 2^{121144401022200} is an apocalyptic number.

121144401022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121144401022200 is an abundant number, since it is smaller than the sum of its proper divisors (287241272630760).

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

121144401022200 is a wasteful number, since it uses less digits than its factorization.

121144401022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320997426 (or 320997417 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 121144401022200 its reverse (2220104441121), we get a palindrome (123364505463321).

The spelling of 121144401022200 in words is "one hundred twenty-one trillion, one hundred forty-four billion, four hundred one million, twenty-two thousand, two hundred".