221760408609012 has 192 divisors, whose sum is σ = 665102333435904. Its totient is φ = 55896003694080.

The previous prime is 221760408608933. The next prime is 221760408609079. The reversal of 221760408609012 is 210906804067122.

It is a super-2 number, since 2×221760408609012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 25923873 + ... + 33400119.

It is an arithmetic number, because the mean of its divisors is an integer number (3464074653312).

Almost surely, 2^{221760408609012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221760408609012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332551166717952).

221760408609012 is an abundant number, since it is smaller than the sum of its proper divisors (443341924826892).

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

221760408609012 is a wasteful number, since it uses less digits than its factorization.

221760408609012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7477478 (or 7477476 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 221760408609012 in words is "two hundred twenty-one trillion, seven hundred sixty billion, four hundred eight million, six hundred nine thousand, twelve".