1237201680 has 480 divisors, whose sum is σ = 4705413120. Its totient is φ = 266373120.

The previous prime is 1237201657. The next prime is 1237201681. The reversal of 1237201680 is 861027321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1237201681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20969491 + ... + 20969549.

It is an arithmetic number, because the mean of its divisors is an integer number (9802944).

Almost surely, 2^1237201680 is an apocalyptic number.

1237201680 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 1237201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352706560).

1237201680 is an abundant number, since it is smaller than the sum of its proper divisors (3468211440).

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

1237201680 is a wasteful number, since it uses less digits than its factorization.

1237201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1237201680 is about 35173.8778072592. The cubic root of 1237201680 is about 1073.5283066798.

The spelling of 1237201680 in words is "one billion, two hundred thirty-seven million, two hundred one thousand, six hundred eighty".