142121200 has 120 divisors (see below), whose sum is σ = 372191456. Its totient is φ = 51840000.

The previous prime is 142121179. The next prime is 142121219. The reversal of 142121200 is 2121241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785110 + ... + 785290.

Almost surely, 2^142121200 is an apocalyptic number.

142121200 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 142121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186095728).

142121200 is an abundant number, since it is smaller than the sum of its proper divisors (230070256).

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

142121200 is a wasteful number, since it uses less digits than its factorization.

142121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 142121200 is about 11921.4596421747. The cubic root of 142121200 is about 521.8587326852.

Adding to 142121200 its reverse (2121241), we get a palindrome (144242441).

The spelling of 142121200 in words is "one hundred forty-two million, one hundred twenty-one thousand, two hundred".