1221127996140 has 384 divisors, whose sum is σ = 4163771001600. Its totient is φ = 295274004480.

The previous prime is 1221127996117. The next prime is 1221127996171. The reversal of 1221127996140 is 416997211221.

1221127996140 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 27 + 9 + 9 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 468043156 + ... + 468045764.

It is an arithmetic number, because the mean of its divisors is an integer number (10843153650).

Almost surely, 2^{1221127996140} is an apocalyptic number.

1221127996140 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 1221127996140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081885500800).

1221127996140 is an abundant number, since it is smaller than the sum of its proper divisors (2942643005460).

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

1221127996140 is a wasteful number, since it uses less digits than its factorization.

1221127996140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1221127996140 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-seven million, nine hundred ninety-six thousand, one hundred forty".