121124434431000 has 2048 divisors, whose sum is σ = 527749447680000. Its totient is φ = 22316995584000.

The previous prime is 121124434430969. The next prime is 121124434431031. The reversal of 121124434431000 is 134434421121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121124434430969) and next prime (121124434431031).

It is a super-2 number, since 2×121124434431000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8777762101 + ... + 8777775899.

It is an arithmetic number, because the mean of its divisors is an integer number (257690160000).

Almost surely, 2^{121124434431000} is an apocalyptic number.

121124434431000 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 121124434431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263874723840000).

121124434431000 is an abundant number, since it is smaller than the sum of its proper divisors (406625013249000).

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

121124434431000 is a wasteful number, since it uses less digits than its factorization.

121124434431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13970 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 121124434431000 its reverse (134434421121), we get a palindrome (121258868852121).

The spelling of 121124434431000 in words is "one hundred twenty-one trillion, one hundred twenty-four billion, four hundred thirty-four million, four hundred thirty-one thousand".