4157122000 has 80 divisors (see below), whose sum is σ = 10100585664. Its totient is φ = 1654800000.

The previous prime is 4157121977. The next prime is 4157122007. The reversal of 4157122000 is 2217514.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157122007) 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 15 ways as a sum of consecutive naturals, for example, 417075 + ... + 426925.

Almost surely, 2^4157122000 is an apocalyptic number.

4157122000 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 4157122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050292832).

4157122000 is an abundant number, since it is smaller than the sum of its proper divisors (5943463664).

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

4157122000 is a wasteful number, since it uses less digits than its factorization.

4157122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 4157122000 is about 64475.7473783748. The cubic root of 4157122000 is about 1607.9193316957.

Adding to 4157122000 its reverse (2217514), we get a palindrome (4159339514).

The spelling of 4157122000 in words is "four billion, one hundred fifty-seven million, one hundred twenty-two thousand".