1201512000 has 224 divisors, whose sum is σ = 4273686144. Its totient is φ = 295680000.

The previous prime is 1201511999. The next prime is 1201512001. The reversal of 1201512000 is 2151021.

It is an interprime number because it is at equal distance from previous prime (1201511999) and next prime (1201512001).

It is a super-2 number, since 2×1201512000² = 2887262172288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1201512001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310075 + ... + 313925.

It is an arithmetic number, because the mean of its divisors is an integer number (19078956).

Almost surely, 2^1201512000 is an apocalyptic number.

1201512000 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 1201512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136843072).

1201512000 is an abundant number, since it is smaller than the sum of its proper divisors (3072174144).

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

1201512000 is a wasteful number, since it uses less digits than its factorization.

1201512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1201512000 is about 34662.8331213708. The cubic root of 1201512000 is about 1063.1046984598.

Adding to 1201512000 its reverse (2151021), we get a palindrome (1203663021).

The spelling of 1201512000 in words is "one billion, two hundred one million, five hundred twelve thousand".