21122223003000 has 192 divisors, whose sum is σ = 81592130243520. Its totient is φ = 4827936672000.

The previous prime is 21122223002981. The next prime is 21122223003041. The reversal of 21122223003000 is 30032222112.

21122223003000 is a `hidden beast` number, since 2 + 112 + 22 + 230 + 0 + 300 + 0 = 666.

It is a super-2 number, since 2×21122223003000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167573691 + ... + 167699690.

It is an arithmetic number, because the mean of its divisors is an integer number (424959011685).

Almost surely, 2^{21122223003000} is an apocalyptic number.

21122223003000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122223003000 is an abundant number, since it is smaller than the sum of its proper divisors (60469907240520).

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

21122223003000 is a wasteful number, since it uses less digits than its factorization.

21122223003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335273415 (or 335273398 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21122223003000 its reverse (30032222112), we get a palindrome (21152255225112).

The spelling of 21122223003000 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty-three million, three thousand".