1241412000 has 96 divisors (see below), whose sum is σ = 4066905024. Its totient is φ = 331040000.

The previous prime is 1241411999. The next prime is 1241412013. The reversal of 1241412000 is 2141421.

1241412000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1241412000² = 3082207507488000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 39726 + ... + 63725.

It is an arithmetic number, because the mean of its divisors is an integer number (42363594).

Almost surely, 2^1241412000 is an apocalyptic number.

1241412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241412000 is an abundant number, since it is smaller than the sum of its proper divisors (2825493024).

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

1241412000 is a wasteful number, since it uses less digits than its factorization.

1241412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103479 (or 103461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1241412000 is about 35233.6770718016. The cubic root of 1241412000 is about 1074.7447023100.

Adding to 1241412000 its reverse (2141421), we get a palindrome (1243553421).

The spelling of 1241412000 in words is "one billion, two hundred forty-one million, four hundred twelve thousand".