214010124020 has 192 divisors, whose sum is σ = 567708825600. Its totient is φ = 65830371840.

The previous prime is 214010124011. The next prime is 214010124037. The reversal of 214010124020 is 20421010412.

It is a self number, because there is not a number n which added to its sum of digits gives 214010124020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37029491 + ... + 37035269.

It is an arithmetic number, because the mean of its divisors is an integer number (2956816800).

Almost surely, 2^214010124020 is an apocalyptic number.

214010124020 is a gapful number since it is divisible by the number (20) 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 214010124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283854412800).

214010124020 is an abundant number, since it is smaller than the sum of its proper divisors (353698701580).

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

214010124020 is a wasteful number, since it uses less digits than its factorization.

214010124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 214010124020 its reverse (20421010412), we get a palindrome (234431134432).

The spelling of 214010124020 in words is "two hundred fourteen billion, ten million, one hundred twenty-four thousand, twenty".