1242061696512 has 960 divisors, whose sum is σ = 4877355954240. Its totient is φ = 308270333952.

The previous prime is 1242061696501. The next prime is 1242061696549. The reversal of 1242061696512 is 2156961602421.

1242061696512 is a `hidden beast` number, since 1 + 2 + 4 + 20 + 616 + 9 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×1242061696512² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149695948 + ... + 149704244.

It is an arithmetic number, because the mean of its divisors is an integer number (5080579119).

Almost surely, 2^{1242061696512} is an apocalyptic number.

1242061696512 is a gapful number since it is divisible by the number (12) 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 1242061696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438677977120).

1242061696512 is an abundant number, since it is smaller than the sum of its proper divisors (3635294257728).

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

1242061696512 is a wasteful number, since it uses less digits than its factorization.

1242061696512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1242061696512 in words is "one trillion, two hundred forty-two billion, sixty-one million, six hundred ninety-six thousand, five hundred twelve".