1217118436950 has 192 divisors, whose sum is σ = 3322412352000. Its totient is φ = 293034931200.

The previous prime is 1217118436949. The next prime is 1217118436981. The reversal of 1217118436950 is 596348117121.

It is a super-2 number, since 2×1217118436950² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1217118436950.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22868370 + ... + 22921530.

It is an arithmetic number, because the mean of its divisors is an integer number (17304231000).

It is a 1-persistent number, because it is pandigital, but 2⋅1217118436950 = 2434236873900 is not.

Almost surely, 2^{1217118436950} is an apocalyptic number.

1217118436950 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 1217118436950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661206176000).

1217118436950 is an abundant number, since it is smaller than the sum of its proper divisors (2105293915050).

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

1217118436950 is a wasteful number, since it uses less digits than its factorization.

1217118436950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53447 (or 53442 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 1217118436950 in words is "one trillion, two hundred seventeen billion, one hundred eighteen million, four hundred thirty-six thousand, nine hundred fifty".