4212000002124 has 36 divisors (see below), whose sum is σ = 10692695305656. Its totient is φ = 1397974246848.

The previous prime is 4212000002053. The next prime is 4212000002149.

4212000002124 is a `hidden beast` number, since 421 + 200 + 0 + 0 + 0 + 21 + 24 = 666.

4212000002124 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4212000002124² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4212000002097 and 4212000002106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251064574 + ... + 251081349.

It is an arithmetic number, because the mean of its divisors is an integer number (297019314046).

Almost surely, 2^{4212000002124} is an apocalyptic number.

It is an amenable number.

4212000002124 is an abundant number, since it is smaller than the sum of its proper divisors (6480695303532).

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

4212000002124 is a wasteful number, since it uses less digits than its factorization.

4212000002124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502146166 (or 502146161 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 421200000 and 2124, that added together give a palindrome (421202124).

The spelling of 4212000002124 in words is "four trillion, two hundred twelve billion, two thousand, one hundred twenty-four".