1201382520 has 256 divisors, whose sum is σ = 4164048000. Its totient is φ = 274661376.

The previous prime is 1201382519. The next prime is 1201382531. The reversal of 1201382520 is 252831021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2360026 + ... + 2360534.

Almost surely, 2^1201382520 is an apocalyptic number.

1201382520 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 1201382520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082024000).

1201382520 is an abundant number, since it is smaller than the sum of its proper divisors (2962665480).

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

1201382520 is a wasteful number, since it uses less digits than its factorization.

1201382520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1201382520 is about 34660.9653645134. The cubic root of 1201382520 is about 1063.0665088728.

The spelling of 1201382520 in words is "one billion, two hundred one million, three hundred eighty-two thousand, five hundred twenty".