1221023133000 has 512 divisors, whose sum is σ = 4766681088000. Its totient is φ = 286454880000.

The previous prime is 1221023132957. The next prime is 1221023133041. The reversal of 1221023133000 is 3313201221.

1221023133000 is a `hidden beast` number, since 122 + 10 + 231 + 3 + 300 + 0 = 666.

It is a super-2 number, since 2×1221023133000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9140691 + ... + 9273309.

It is an arithmetic number, because the mean of its divisors is an integer number (9309924000).

Almost surely, 2^{1221023133000} is an apocalyptic number.

1221023133000 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 1221023133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383340544000).

1221023133000 is an abundant number, since it is smaller than the sum of its proper divisors (3545657955000).

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

1221023133000 is a wasteful number, since it uses less digits than its factorization.

1221023133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132691 (or 132671 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1221023133000 its reverse (3313201221), we get a palindrome (1224336334221).

The spelling of 1221023133000 in words is "one trillion, two hundred twenty-one billion, twenty-three million, one hundred thirty-three thousand".