103322032212000 has 768 divisors, whose sum is σ = 389973188247552. Its totient is φ = 23425567027200.

The previous prime is 103322032211941. The next prime is 103322032212029. The reversal of 103322032212000 is 212230223301.

It is a happy number.

It is a super-2 number, since 2×103322032212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8005109547 + ... + 8005122453.

It is an arithmetic number, because the mean of its divisors is an integer number (507777588864).

Almost surely, 2^{103322032212000} is an apocalyptic number.

103322032212000 is a gapful number since it is divisible by the number (10) 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 103322032212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194986594123776).

103322032212000 is an abundant number, since it is smaller than the sum of its proper divisors (286651156035552).

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

103322032212000 is a wasteful number, since it uses less digits than its factorization.

103322032212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13706 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103322032212000 its reverse (212230223301), we get a palindrome (103534262435301).

The spelling of 103322032212000 in words is "one hundred three trillion, three hundred twenty-two billion, thirty-two million, two hundred twelve thousand".