212042401506 has 160 divisors (see below), whose sum is σ = 515643625728. Its totient is φ = 64740798720.

The previous prime is 212042401453. The next prime is 212042401547. The reversal of 212042401506 is 605104240212.

212042401506 is a `hidden beast` number, since 2 + 1 + 204 + 2 + 401 + 50 + 6 = 666.

It is a super-2 number, since 2×212042401506² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 212042401506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178636645 + ... + 178637831.

Almost surely, 2^212042401506 is an apocalyptic number.

212042401506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212042401506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257821812864).

212042401506 is an abundant number, since it is smaller than the sum of its proper divisors (303601224222).

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

212042401506 is a wasteful number, since it uses less digits than its factorization.

212042401506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 212042401506 its reverse (605104240212), we get a palindrome (817146641718).

The spelling of 212042401506 in words is "two hundred twelve billion, forty-two million, four hundred one thousand, five hundred six".