242104106211000 has 256 divisors, whose sum is σ = 826667072524800. Its totient is φ = 58504387968000.

The previous prime is 242104106210999. The next prime is 242104106211169. The reversal of 242104106211000 is 112601401242.

It is a super-2 number, since 2×242104106211000² (a number of 30 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 63 ways as a sum of consecutive naturals, for example, 1390630 + ... + 22048629.

It is an arithmetic number, because the mean of its divisors is an integer number (3229168252050).

Almost surely, 2^{242104106211000} is an apocalyptic number.

242104106211000 is a gapful number since it is divisible by the number (20) 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 242104106211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413333536262400).

242104106211000 is an abundant number, since it is smaller than the sum of its proper divisors (584562966313800).

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

242104106211000 is a wasteful number, since it uses less digits than its factorization.

242104106211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439607 (or 23439593 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 242104106211000 its reverse (112601401242), we get a palindrome (242216707612242).

The spelling of 242104106211000 in words is "two hundred forty-two trillion, one hundred four billion, one hundred six million, two hundred eleven thousand".