11002420000 has 240 divisors, whose sum is σ = 31807968192. Its totient is φ = 3692160000.

The previous prime is 11002419983. The next prime is 11002420027. The reversal of 11002420000 is 2420011.

11002420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2858077 + ... + 2861923.

Almost surely, 2^11002420000 is an apocalyptic number.

11002420000 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 11002420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903984096).

11002420000 is an abundant number, since it is smaller than the sum of its proper divisors (20805548192).

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

11002420000 is a wasteful number, since it uses less digits than its factorization.

11002420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11002420000 its reverse (2420011), we get a palindrome (11004840011).

It can be divided in two parts, 1100 and 2420000, that added together give a triangular number (2421100 = T₂₂₀₀).

The spelling of 11002420000 in words is "eleven billion, two million, four hundred twenty thousand".