211224134000 has 480 divisors, whose sum is σ = 592206346368. Its totient is φ = 72669696000.

The previous prime is 211224133979. The next prime is 211224134021. The reversal of 211224134000 is 431422112.

It is an interprime number because it is at equal distance from previous prime (211224133979) and next prime (211224134021).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 762541862 + ... + 762542138.

Almost surely, 2^211224134000 is an apocalyptic number.

211224134000 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 211224134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296103173184).

211224134000 is an abundant number, since it is smaller than the sum of its proper divisors (380982212368).

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

211224134000 is a wasteful number, since it uses less digits than its factorization.

211224134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211224134000 its reverse (431422112), we get a palindrome (211655556112).

The spelling of 211224134000 in words is "two hundred eleven billion, two hundred twenty-four million, one hundred thirty-four thousand".