1011220224000 has 768 divisors, whose sum is σ = 3895473254400. Its totient is φ = 228114432000.

The previous prime is 1011220223989. The next prime is 1011220224109. The reversal of 1011220224000 is 4220221101.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1011220224000² (a number of 25 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424702810 + ... + 424705190.

It is an arithmetic number, because the mean of its divisors is an integer number (5072230800).

Almost surely, 2^{1011220224000} is an apocalyptic number.

1011220224000 is a gapful number since it is divisible by the number (10) 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 1011220224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947736627200).

1011220224000 is an abundant number, since it is smaller than the sum of its proper divisors (2884253030400).

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

1011220224000 is an equidigital number, since it uses as much as digits as its factorization.

1011220224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1011220224000 its reverse (4220221101), we get a palindrome (1015440445101).

The spelling of 1011220224000 in words is "one trillion, eleven billion, two hundred twenty million, two hundred twenty-four thousand".