1216727104950 has 384 divisors, whose sum is σ = 4062265712640. Its totient is φ = 261861465600.

The previous prime is 1216727104949. The next prime is 1216727104951. The reversal of 1216727104950 is 594017276121.

1216727104950 is a `hidden beast` number, since 1 + 21 + 6 + 72 + 71 + 0 + 495 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1216727104949) and next prime (1216727104951).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1216727104896 and 1216727104905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216727104951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10783024 + ... + 10895276.

It is an arithmetic number, because the mean of its divisors is an integer number (10578816960).

Almost surely, 2^{1216727104950} is an apocalyptic number.

1216727104950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216727104950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031132856320).

1216727104950 is an abundant number, since it is smaller than the sum of its proper divisors (2845538607690).

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

1216727104950 is a wasteful number, since it uses less digits than its factorization.

1216727104950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112349 (or 112338 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1216727104950 in words is "one trillion, two hundred sixteen billion, seven hundred twenty-seven million, one hundred four thousand, nine hundred fifty".