1201662000 has 960 divisors, whose sum is σ = 5701063680. Its totient is φ = 235008000.

The previous prime is 1201661977. The next prime is 1201662023. The reversal of 1201662000 is 2661021.

It is a happy number.

1201662000 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 662 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1201661977) and next prime (1201662023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70685992 + ... + 70686008.

It is an arithmetic number, because the mean of its divisors is an integer number (5938608).

Almost surely, 2^1201662000 is an apocalyptic number.

1201662000 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 1201662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850531840).

1201662000 is an abundant number, since it is smaller than the sum of its proper divisors (4499401680).

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

1201662000 is a wasteful number, since it uses less digits than its factorization.

1201662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1201662000 is about 34664.9967546515. The cubic root of 1201662000 is about 1063.1489369052.

The spelling of 1201662000 in words is "one billion, two hundred one million, six hundred sixty-two thousand".