221031123000 has 512 divisors, whose sum is σ = 748500480000. Its totient is φ = 54120960000.

The previous prime is 221031122927. The next prime is 221031123007. The reversal of 221031123000 is 321130122.

It is a super-2 number, since 2×221031123000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221031123007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 633326826 + ... + 633327174.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915000).

Almost surely, 2^221031123000 is an apocalyptic number.

221031123000 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 221031123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240000).

221031123000 is an abundant number, since it is smaller than the sum of its proper divisors (527469357000).

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

221031123000 is a wasteful number, since it uses less digits than its factorization.

221031123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221031123000 its reverse (321130122), we get a palindrome (221352253122).

The spelling of 221031123000 in words is "two hundred twenty-one billion, thirty-one million, one hundred twenty-three thousand".