211120152000 has 336 divisors, whose sum is σ = 714672887136. Its totient is φ = 54915072000.

The previous prime is 211120151981. The next prime is 211120152017. The reversal of 211120152000 is 251021112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40341384 + ... + 40346616.

Almost surely, 2^211120152000 is an apocalyptic number.

211120152000 is a gapful number since it is divisible by the number (20) 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 211120152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357336443568).

211120152000 is an abundant number, since it is smaller than the sum of its proper divisors (503552735136).

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

211120152000 is an equidigital number, since it uses as much as digits as its factorization.

211120152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 211120152000 its reverse (251021112), we get a palindrome (211371173112).

The spelling of 211120152000 in words is "two hundred eleven billion, one hundred twenty million, one hundred fifty-two thousand".