1226142000 has 240 divisors, whose sum is σ = 4535548992. Its totient is φ = 307660800.

The previous prime is 1226141999. The next prime is 1226142007. The reversal of 1226142000 is 2416221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1226142007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303997 + ... + 308003.

Almost surely, 2^1226142000 is an apocalyptic number.

1226142000 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 1226142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267774496).

1226142000 is an abundant number, since it is smaller than the sum of its proper divisors (3309406992).

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

1226142000 is a wasteful number, since it uses less digits than its factorization.

1226142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1226142000 is about 35016.3104852582. The cubic root of 1226142000 is about 1070.3198740856.

Adding to 1226142000 its reverse (2416221), we get a palindrome (1228558221).

The spelling of 1226142000 in words is "one billion, two hundred twenty-six million, one hundred forty-two thousand".