1214122404042 has 192 divisors, whose sum is σ = 2846100426624. Its totient is φ = 387606850560.

The previous prime is 1214122404041. The next prime is 1214122404043. The reversal of 1214122404042 is 2404042214121.

1214122404042 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 12 + 240 + 404 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1214122404041) and next prime (1214122404043).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1214122403997 and 1214122404015.

It is not an unprimeable number, because it can be changed into a prime (1214122404041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330191908 + ... + 330195584.

It is an arithmetic number, because the mean of its divisors is an integer number (14823439722).

Almost surely, 2^{1214122404042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214122404042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423050213312).

1214122404042 is an abundant number, since it is smaller than the sum of its proper divisors (1631978022582).

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

1214122404042 is a wasteful number, since it uses less digits than its factorization.

1214122404042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1214122404042 its reverse (2404042214121), we get a palindrome (3618164618163).

The spelling of 1214122404042 in words is "one trillion, two hundred fourteen billion, one hundred twenty-two million, four hundred four thousand, forty-two".