221412211144124 has 384 divisors, whose sum is σ = 541644209971200. Its totient is φ = 76389667200000.

The previous prime is 221412211144099. The next prime is 221412211144147. The reversal of 221412211144124 is 421441112214122.

It is a super-3 number, since 3×221412211144124³ (a number of 44 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12211794539 + ... + 12211812669.

It is an arithmetic number, because the mean of its divisors is an integer number (1410531796800).

Almost surely, 2^{221412211144124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221412211144124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270822104985600).

221412211144124 is an abundant number, since it is smaller than the sum of its proper divisors (320231998827076).

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

221412211144124 is a wasteful number, since it uses less digits than its factorization.

221412211144124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18865 (or 18863 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

Adding to 221412211144124 its reverse (421441112214122), we get a palindrome (642853323358246).

The spelling of 221412211144124 in words is "two hundred twenty-one trillion, four hundred twelve billion, two hundred eleven million, one hundred forty-four thousand, one hundred twenty-four".