1201014000 has 320 divisors, whose sum is σ = 4493998080. Its totient is φ = 306028800.

The previous prime is 1201013963. The next prime is 1201014007. The reversal of 1201014000 is 4101021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201014007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241517 + ... + 1242483.

It is an arithmetic number, because the mean of its divisors is an integer number (14043744).

Almost surely, 2^1201014000 is an apocalyptic number.

1201014000 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 1201014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246999040).

1201014000 is an abundant number, since it is smaller than the sum of its proper divisors (3292984080).

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

1201014000 is a wasteful number, since it uses less digits than its factorization.

1201014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1000 counting only the distinct ones).

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

The square root of 1201014000 is about 34655.6488901882. The cubic root of 1201014000 is about 1062.9578004120.

Adding to 1201014000 its reverse (4101021), we get a palindrome (1205115021).

The spelling of 1201014000 in words is "one billion, two hundred one million, fourteen thousand".