1216091269120 has 576 divisors, whose sum is σ = 3755722239360. Its totient is φ = 367990013952.

The previous prime is 1216091269093. The next prime is 1216091269187. The reversal of 1216091269120 is 219621906121.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492942127 + ... + 492944593.

It is an arithmetic number, because the mean of its divisors is an integer number (6520351110).

Almost surely, 2^{1216091269120} is an apocalyptic number.

1216091269120 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 1216091269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877861119680).

1216091269120 is an abundant number, since it is smaller than the sum of its proper divisors (2539630970240).

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

1216091269120 is a wasteful number, since it uses less digits than its factorization.

1216091269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 1216091269120 in words is "one trillion, two hundred sixteen billion, ninety-one million, two hundred sixty-nine thousand, one hundred twenty".