2011000124430 has 640 divisors, whose sum is σ = 6160535377920. Its totient is φ = 466492815360.

The previous prime is 2011000124429. The next prime is 2011000124453. The reversal of 2011000124430 is 344210001102.

2011000124430 is a `hidden beast` number, since 2 + 0 + 110 + 0 + 0 + 124 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4799522761 + ... + 4799523179.

It is an arithmetic number, because the mean of its divisors is an integer number (9625836528).

Almost surely, 2^{2011000124430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011000124430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080267688960).

2011000124430 is an abundant number, since it is smaller than the sum of its proper divisors (4149535253490).

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

2011000124430 is a wasteful number, since it uses less digits than its factorization.

2011000124430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2011000124430 its reverse (344210001102), we get a palindrome (2355210125532).

The spelling of 2011000124430 in words is "two trillion, eleven billion, one hundred twenty-four thousand, four hundred thirty".