1121210242560 has 960 divisors, whose sum is σ = 4311656661312. Its totient is φ = 278245933056.

The previous prime is 1121210242517. The next prime is 1121210242601. The reversal of 1121210242560 is 652420121211.

It is a happy number.

1121210242560 is a `hidden beast` number, since 1 + 1 + 21 + 210 + 2 + 425 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1121210242560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1025809374 + ... + 1025810466.

Almost surely, 2^{1121210242560} is an apocalyptic number.

1121210242560 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 1121210242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155828330656).

1121210242560 is an abundant number, since it is smaller than the sum of its proper divisors (3190446418752).

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

1121210242560 is an equidigital number, since it uses as much as digits as its factorization.

1121210242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1121210242560 its reverse (652420121211), we get a palindrome (1773630363771).

The spelling of 1121210242560 in words is "one trillion, one hundred twenty-one billion, two hundred ten million, two hundred forty-two thousand, five hundred sixty".