1200513888 has 288 divisors, whose sum is σ = 4313627136. Its totient is φ = 308588544.

The previous prime is 1200513869. The next prime is 1200513893. The reversal of 1200513888 is 8883150021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787495 + ... + 789017.

It is an arithmetic number, because the mean of its divisors is an integer number (14977872).

Almost surely, 2^1200513888 is an apocalyptic number.

1200513888 is a gapful number since it is divisible by the number (18) 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 1200513888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156813568).

1200513888 is an abundant number, since it is smaller than the sum of its proper divisors (3113113248).

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

1200513888 is a wasteful number, since it uses less digits than its factorization.

1200513888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1200513888 is about 34648.4326918260. The cubic root of 1200513888 is about 1062.8102385029.

The spelling of 1200513888 in words is "one billion, two hundred million, five hundred thirteen thousand, eight hundred eighty-eight".