1121214312000 has 560 divisors, whose sum is σ = 4170067799040. Its totient is φ = 297392256000.

The previous prime is 1121214311947. The next prime is 1121214312011. The reversal of 1121214312000 is 2134121211.

1121214312000 is a `hidden beast` number, since 1 + 1 + 212 + 1 + 431 + 20 + 0 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 123763471 + ... + 123772529.

Almost surely, 2^{1121214312000} is an apocalyptic number.

1121214312000 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 1121214312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085033899520).

1121214312000 is an abundant number, since it is smaller than the sum of its proper divisors (3048853487040).

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

1121214312000 is an equidigital number, since it uses as much as digits as its factorization.

1121214312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1121214312000 its reverse (2134121211), we get a palindrome (1123348433211).

The spelling of 1121214312000 in words is "one trillion, one hundred twenty-one billion, two hundred fourteen million, three hundred twelve thousand".