121271946432 has 896 divisors, whose sum is σ = 430669037568. Its totient is φ = 29262643200.

The previous prime is 121271946431. The next prime is 121271946443. The reversal of 121271946432 is 234649172121.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (121271946431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 954897153 + ... + 954897279.

It is an arithmetic number, because the mean of its divisors is an integer number (480657408).

Almost surely, 2^121271946432 is an apocalyptic number.

121271946432 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 121271946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215334518784).

121271946432 is an abundant number, since it is smaller than the sum of its proper divisors (309397091136).

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

121271946432 is a wasteful number, since it uses less digits than its factorization.

121271946432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 121271946432 in words is "one hundred twenty-one billion, two hundred seventy-one million, nine hundred forty-six thousand, four hundred thirty-two".