1202112000 has 240 divisors, whose sum is σ = 4331856672. Its totient is φ = 320409600.

The previous prime is 1202111987. The next prime is 1202112019. The reversal of 1202112000 is 2112021.

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 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, 574957 + ... + 577043.

Almost surely, 2^1202112000 is an apocalyptic number.

1202112000 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 1202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165928336).

1202112000 is an abundant number, since it is smaller than the sum of its proper divisors (3129744672).

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

1202112000 is an equidigital number, since it uses as much as digits as its factorization.

1202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1202112000 is about 34671.4868443798. The cubic root of 1202112000 is about 1063.2816301569.

Adding to 1202112000 its reverse (2112021), we get a palindrome (1204224021).

The spelling of 1202112000 in words is "one billion, two hundred two million, one hundred twelve thousand".