5201412000 has 192 divisors, whose sum is σ = 17179029504. Its totient is φ = 1375718400.

The previous prime is 5201411947. The next prime is 5201412017. The reversal of 5201412000 is 2141025.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522294 + ... + 1525706.

It is an arithmetic number, because the mean of its divisors is an integer number (89474112).

Almost surely, 2^5201412000 is an apocalyptic number.

5201412000 is a gapful number since it is divisible by the number (50) 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 5201412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589514752).

5201412000 is an abundant number, since it is smaller than the sum of its proper divisors (11977617504).

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

5201412000 is a wasteful number, since it uses less digits than its factorization.

5201412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5201412000 is about 72120.8153032119. The cubic root of 5201412000 is about 1732.6350079798.

Adding to 5201412000 its reverse (2141025), we get a palindrome (5203553025).

The spelling of 5201412000 in words is "five billion, two hundred one million, four hundred twelve thousand".