121144102432 has 48 divisors (see below), whose sum is σ = 246342442752. Its totient is φ = 58583266560.

The previous prime is 121144102403. The next prime is 121144102451. The reversal of 121144102432 is 234201441121.

It is a super-3 number, since 3×121144102432³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121144102397 and 121144102406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1673778 + ... + 1744654.

It is an arithmetic number, because the mean of its divisors is an integer number (5132134224).

Almost surely, 2^121144102432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121144102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123171221376).

121144102432 is an abundant number, since it is smaller than the sum of its proper divisors (125198340320).

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

121144102432 is a wasteful number, since it uses less digits than its factorization.

121144102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72641 (or 72633 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 121144102432 its reverse (234201441121), we get a palindrome (355345543553).

The spelling of 121144102432 in words is "one hundred twenty-one billion, one hundred forty-four million, one hundred two thousand, four hundred thirty-two".