1011919779120 has 320 divisors, whose sum is σ = 3268550799360. Its totient is φ = 258696806400.

The previous prime is 1011919779119. The next prime is 1011919779127. The reversal of 1011919779120 is 219779191101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1011919779120.

It is not an unprimeable number, because it can be changed into a prime (1011919779127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783825675 + ... + 783826965.

It is an arithmetic number, because the mean of its divisors is an integer number (10214221248).

Almost surely, 2^{1011919779120} is an apocalyptic number.

1011919779120 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 1011919779120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634275399680).

1011919779120 is an abundant number, since it is smaller than the sum of its proper divisors (2256631020240).

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

1011919779120 is a wasteful number, since it uses less digits than its factorization.

1011919779120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 48.

The spelling of 1011919779120 in words is "one trillion, eleven billion, nine hundred nineteen million, seven hundred seventy-nine thousand, one hundred twenty".