1220100093828 has 384 divisors, whose sum is σ = 4160043417600. Its totient is φ = 299599171200.

The previous prime is 1220100093827. The next prime is 1220100093857. The reversal of 1220100093828 is 8283900010221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1220100093792 and 1220100093801.

It is not an unprimeable number, because it can be changed into a prime (1220100093827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77572101 + ... + 77587827.

It is an arithmetic number, because the mean of its divisors is an integer number (10833446400).

Almost surely, 2^{1220100093828} is an apocalyptic number.

1220100093828 is a gapful number since it is divisible by the number (18) 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 1220100093828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080021708800).

1220100093828 is an abundant number, since it is smaller than the sum of its proper divisors (2939943323772).

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

1220100093828 is a wasteful number, since it uses less digits than its factorization.

1220100093828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16268 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1220100093828 in words is "one trillion, two hundred twenty billion, one hundred million, ninety-three thousand, eight hundred twenty-eight".