1211425128000 has 672 divisors, whose sum is σ = 4404702107520. Its totient is φ = 317783347200.

The previous prime is 1211425127929. The next prime is 1211425128097. The reversal of 1211425128000 is 8215241121.

1211425128000 is a `hidden beast` number, since 1 + 2 + 1 + 142 + 512 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×1211425128000³ (a number of 37 digits) contains 333 as substring.

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, 1279223527 + ... + 1279224473.

Almost surely, 2^{1211425128000} is an apocalyptic number.

1211425128000 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 1211425128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202351053760).

1211425128000 is an abundant number, since it is smaller than the sum of its proper divisors (3193276979520).

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

1211425128000 is a wasteful number, since it uses less digits than its factorization.

1211425128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 1211425128000 in words is "one trillion, two hundred eleven billion, four hundred twenty-five million, one hundred twenty-eight thousand".