4214122120 has 128 divisors (see below), whose sum is σ = 10506988800. Its totient is φ = 1511322624.

The previous prime is 4214122117. The next prime is 4214122127. The reversal of 4214122120 is 212214124.

It is not an unprimeable number, because it can be changed into a prime (4214122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5120029 + ... + 5120851.

It is an arithmetic number, because the mean of its divisors is an integer number (82085850).

Almost surely, 2^4214122120 is an apocalyptic number.

4214122120 is a gapful number since it is divisible by the number (40) 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 4214122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253494400).

4214122120 is an abundant number, since it is smaller than the sum of its proper divisors (6292866680).

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

4214122120 is a wasteful number, since it uses less digits than its factorization.

4214122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4214122120 is about 64916.2700715314. The cubic root of 4214122120 is about 1615.2349589619.

Adding to 4214122120 its reverse (212214124), we get a palindrome (4426336244).

It can be divided in two parts, 42141 and 22120, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 4214122120 in words is "four billion, two hundred fourteen million, one hundred twenty-two thousand, one hundred twenty".