1242705146000 has 320 divisors, whose sum is σ = 3220079616000. Its totient is φ = 462468441600.

The previous prime is 1242705145999. The next prime is 1242705146009. The reversal of 1242705146000 is 6415072421.

It is not an unprimeable number, because it can be changed into a prime (1242705146009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1219533491 + ... + 1219534509.

It is an arithmetic number, because the mean of its divisors is an integer number (10062748800).

Almost surely, 2^{1242705146000} is an apocalyptic number.

1242705146000 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 1242705146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610039808000).

1242705146000 is an abundant number, since it is smaller than the sum of its proper divisors (1977374470000).

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

1242705146000 is a wasteful number, since it uses less digits than its factorization.

1242705146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 1242705146000 in words is "one trillion, two hundred forty-two billion, seven hundred five million, one hundred forty-six thousand".