1542012000 has 384 divisors, whose sum is σ = 5449586688. Its totient is φ = 380160000.

The previous prime is 1542011993. The next prime is 1542012053. The reversal of 1542012000 is 2102451.

1542012000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 10211925 + ... + 10212075.

It is an arithmetic number, because the mean of its divisors is an integer number (14191632).

Almost surely, 2^1542012000 is an apocalyptic number.

1542012000 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 1542012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724793344).

1542012000 is an abundant number, since it is smaller than the sum of its proper divisors (3907574688).

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

1542012000 is a wasteful number, since it uses less digits than its factorization.

1542012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

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

The square root of 1542012000 is about 39268.4606268186. The cubic root of 1542012000 is about 1155.3030444858.

Adding to 1542012000 its reverse (2102451), we get a palindrome (1544114451).

The spelling of 1542012000 in words is "one billion, five hundred forty-two million, twelve thousand".