1029223002192 has 160 divisors (see below), whose sum is σ = 3315402276864. Its totient is φ = 267290150400.

The previous prime is 1029223002191. The next prime is 1029223002259. The reversal of 1029223002192 is 2912003229201.

It is a happy number.

It is a super-2 number, since 2×1029223002192² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029223002191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30256938 + ... + 30290934.

Almost surely, 2^{1029223002192} is an apocalyptic number.

1029223002192 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 1029223002192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657701138432).

1029223002192 is an abundant number, since it is smaller than the sum of its proper divisors (2286179274672).

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

1029223002192 is a wasteful number, since it uses less digits than its factorization.

1029223002192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42217 (or 42211 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 1029223002192 in words is "one trillion, twenty-nine billion, two hundred twenty-three million, two thousand, one hundred ninety-two".