211225297920 has 704 divisors, whose sum is σ = 835804838400. Its totient is φ = 44335890432.

The previous prime is 211225297909. The next prime is 211225297967. The reversal of 211225297920 is 29792522112.

It is a super-2 number, since 2×211225297920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487818024 + ... + 487818456.

Almost surely, 2^211225297920 is an apocalyptic number.

211225297920 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 211225297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417902419200).

211225297920 is an abundant number, since it is smaller than the sum of its proper divisors (624579540480).

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

211225297920 is a wasteful number, since it uses less digits than its factorization.

211225297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 211225297920 in words is "two hundred eleven billion, two hundred twenty-five million, two hundred ninety-seven thousand, nine hundred twenty".