121280102344032 has 192 divisors, whose sum is σ = 340052397834240. Its totient is φ = 37715444711424.

The previous prime is 121280102344019. The next prime is 121280102344033. The reversal of 121280102344032 is 230443201082121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121280102343984 and 121280102344002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121280102344033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84081969 + ... + 85512207.

It is an arithmetic number, because the mean of its divisors is an integer number (1771106238720).

Almost surely, 2^{121280102344032} is an apocalyptic number.

121280102344032 is a gapful number since it is divisible by the number (12) 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 121280102344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170026198917120).

121280102344032 is an abundant number, since it is smaller than the sum of its proper divisors (218772295490208).

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

121280102344032 is a wasteful number, since it uses less digits than its factorization.

121280102344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430725 (or 1430717 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 121280102344032 in words is "one hundred twenty-one trillion, two hundred eighty billion, one hundred two million, three hundred forty-four thousand, thirty-two".