123001200 has 240 divisors, whose sum is σ = 500642560. Its totient is φ = 28097280.

The previous prime is 123001187. The next prime is 123001223. The reversal of 123001200 is 2100321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74787 + ... + 76413.

Almost surely, 2^123001200 is an apocalyptic number.

123001200 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 123001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250321280).

123001200 is an abundant number, since it is smaller than the sum of its proper divisors (377641360).

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

123001200 is a wasteful number, since it uses less digits than its factorization.

123001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 123001200 is about 11090.5906064555. The cubic root of 123001200 is about 497.3206006191.

Adding to 123001200 its reverse (2100321), we get a palindrome (125101521).

It can be divided in two parts, 123001 and 200, that added together give a square (123201 = 351²).

The spelling of 123001200 in words is "one hundred twenty-three million, one thousand, two hundred".