342120066000 has 160 divisors (see below), whose sum is σ = 1103870621568. Its totient is φ = 91159603200.

The previous prime is 342120065999. The next prime is 342120066049. The reversal of 342120066000 is 660021243.

It is a super-2 number, since 2×342120066000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7760019 + ... + 7803981.

Almost surely, 2^342120066000 is an apocalyptic number.

342120066000 is a gapful number since it is divisible by the number (30) 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 342120066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551935310784).

342120066000 is an abundant number, since it is smaller than the sum of its proper divisors (761750555568).

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

342120066000 is a wasteful number, since it uses less digits than its factorization.

342120066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45286 (or 45270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 342120066000 its reverse (660021243), we get a palindrome (342780087243).

The spelling of 342120066000 in words is "three hundred forty-two billion, one hundred twenty million, sixty-six thousand".