2114222121424 has 160 divisors (see below), whose sum is σ = 5055356436480. Its totient is φ = 836365741056.

The previous prime is 2114222121409. The next prime is 2114222121463. The reversal of 2114222121424 is 4241212224112.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a junction number, because it is equal to n+sod(n) for n = 2114222121392 and 2114222121401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22256172 + ... + 22350964.

It is an arithmetic number, because the mean of its divisors is an integer number (31595977728).

Almost surely, 2^{2114222121424} 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 2114222121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527678218240).

2114222121424 is an abundant number, since it is smaller than the sum of its proper divisors (2941134315056).

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

2114222121424 is a wasteful number, since it uses less digits than its factorization.

2114222121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95097 (or 95091 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 2114222121424 its reverse (4241212224112), we get a palindrome (6355434345536).

The spelling of 2114222121424 in words is "two trillion, one hundred fourteen billion, two hundred twenty-two million, one hundred twenty-one thousand, four hundred twenty-four".