1103429621272 has 256 divisors, whose sum is σ = 2438263296000. Its totient is φ = 463408128000.

The previous prime is 1103429621267. The next prime is 1103429621279. The reversal of 1103429621272 is 2721269243011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103429621279) 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 63 ways as a sum of consecutive naturals, for example, 1216570243 + ... + 1216571149.

It is an arithmetic number, because the mean of its divisors is an integer number (9524466000).

Almost surely, 2^{1103429621272} 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 1103429621272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219131648000).

1103429621272 is an abundant number, since it is smaller than the sum of its proper divisors (1334833674728).

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

1103429621272 is a wasteful number, since it uses less digits than its factorization.

1103429621272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1103429621272 in words is "one trillion, one hundred three billion, four hundred twenty-nine million, six hundred twenty-one thousand, two hundred seventy-two".