123220102032 has 240 divisors, whose sum is σ = 385406760960. Its totient is φ = 36521791488.

The previous prime is 123220102009. The next prime is 123220102037. The reversal of 123220102032 is 230201022321.

It is a super-4 number, since 4×123220102032⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123220101996 and 123220102014.

It is not an unprimeable number, because it can be changed into a prime (123220102037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17810638 + ... + 17817554.

It is an arithmetic number, because the mean of its divisors is an integer number (1605861504).

Almost surely, 2^123220102032 is an apocalyptic number.

123220102032 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 123220102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192703380480).

123220102032 is an abundant number, since it is smaller than the sum of its proper divisors (262186658928).

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

123220102032 is a wasteful number, since it uses less digits than its factorization.

123220102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 123220102032 its reverse (230201022321), we get a palindrome (353421124353).

The spelling of 123220102032 in words is "one hundred twenty-three billion, two hundred twenty million, one hundred two thousand, thirty-two".