2122622216400 has 240 divisors, whose sum is σ = 8021491417088. Its totient is φ = 469520064000.

The previous prime is 2122622216387. The next prime is 2122622216413. The reversal of 2122622216400 is 46122262212.

It is an interprime number because it is at equal distance from previous prime (2122622216387) and next prime (2122622216413).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 3815296 + ... + 4336095.

Almost surely, 2^{2122622216400} is an apocalyptic number.

2122622216400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122622216400 is an abundant number, since it is smaller than the sum of its proper divisors (5898869200688).

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

2122622216400 is a wasteful number, since it uses less digits than its factorization.

2122622216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151450 (or 8151439 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2122622216400 its reverse (46122262212), we get a palindrome (2168744478612).

The spelling of 2122622216400 in words is "two trillion, one hundred twenty-two billion, six hundred twenty-two million, two hundred sixteen thousand, four hundred".