1211456125000 has 224 divisors, whose sum is σ = 3279698644320. Its totient is φ = 414608000000.

The previous prime is 1211456124937. The next prime is 1211456125001. The reversal of 1211456125000 is 5216541121.

It is a super-3 number, since 3×1211456125000³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1211456125000.

It is not an unprimeable number, because it can be changed into a prime (1211456125001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23349087 + ... + 23400913.

It is an arithmetic number, because the mean of its divisors is an integer number (14641511805).

Almost surely, 2^{1211456125000} is an apocalyptic number.

1211456125000 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 1211456125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639849322160).

1211456125000 is an abundant number, since it is smaller than the sum of its proper divisors (2068242519320).

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

1211456125000 is an equidigital number, since it uses as much as digits as its factorization.

1211456125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51891 (or 51862 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 1211456125000 in words is "one trillion, two hundred eleven billion, four hundred fifty-six million, one hundred twenty-five thousand".