123201100000 has 288 divisors, whose sum is σ = 337910372352. Its totient is φ = 43828800000.

The previous prime is 123201099977. The next prime is 123201100007. The reversal of 123201100000 is 1102321.

It is a super-2 number, since 2×123201100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 123201100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123201100007) 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, 51698809 + ... + 51701191.

It is an arithmetic number, because the mean of its divisors is an integer number (1173299904).

Almost surely, 2^123201100000 is an apocalyptic number.

123201100000 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 123201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168955186176).

123201100000 is an abundant number, since it is smaller than the sum of its proper divisors (214709272352).

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

123201100000 is an equidigital number, since it uses as much as digits as its factorization.

123201100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 123201100000 its reverse (1102321), we get a palindrome (123202202321).

The spelling of 123201100000 in words is "one hundred twenty-three billion, two hundred one million, one hundred thousand".