1221233001120 has 432 divisors, whose sum is σ = 4850227385640. Its totient is φ = 278640721920.

The previous prime is 1221233001101. The next prime is 1221233001139. The reversal of 1221233001120 is 211003321221.

1221233001120 is a `hidden beast` number, since 1 + 2 + 212 + 330 + 0 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1221233001101) and next prime (1221233001139).

It can be written as a sum of positive squares in 4 ways, for example, as 1179317809296 + 41915191824 = 1085964^2 + 204732^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221233001093 and 1221233001102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2755936 + ... + 3168224.

Almost surely, 2^{1221233001120} is an apocalyptic number.

1221233001120 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 1221233001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425113692820).

1221233001120 is an abundant number, since it is smaller than the sum of its proper divisors (3628994384520).

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

1221233001120 is a wasteful number, since it uses less digits than its factorization.

1221233001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412349 (or 412327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221233001120 its reverse (211003321221), we get a palindrome (1432236322341).

The spelling of 1221233001120 in words is "one trillion, two hundred twenty-one billion, two hundred thirty-three million, one thousand, one hundred twenty".