4214122000 has 80 divisors (see below), whose sum is σ = 11116145664. Its totient is φ = 1532400000.

The previous prime is 4214121949. The next prime is 4214122009. The reversal of 4214122000 is 2214124.

4214122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4214122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73776 + ... + 117775.

Almost surely, 2^4214122000 is an apocalyptic number.

4214122000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214122000 is an abundant number, since it is smaller than the sum of its proper divisors (6902023664).

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

4214122000 is a wasteful number, since it uses less digits than its factorization.

4214122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191585 (or 191569 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4214122000 is about 64916.2691472638. The cubic root of 4214122000 is about 1615.2349436303.

Adding to 4214122000 its reverse (2214124), we get a palindrome (4216336124).

The spelling of 4214122000 in words is "four billion, two hundred fourteen million, one hundred twenty-two thousand".