4272120000 has 210 divisors, whose sum is σ = 15302967108. Its totient is φ = 1139136000.

The previous prime is 4272119987. The next prime is 4272120053. The reversal of 4272120000 is 212724.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 354067 + ... + 365933.

Almost surely, 2^4272120000 is an apocalyptic number.

4272120000 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 4272120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651483554).

4272120000 is an abundant number, since it is smaller than the sum of its proper divisors (11030847108).

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

4272120000 is a wasteful number, since it uses less digits than its factorization.

4272120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4272120000 is about 65361.4565321184. The cubic root of 4272120000 is about 1622.6112436913.

Adding to 4272120000 its reverse (212724), we get a palindrome (4272332724).

The spelling of 4272120000 in words is "four billion, two hundred seventy-two million, one hundred twenty thousand".