211142032400 has 120 divisors (see below), whose sum is σ = 546560892864. Its totient is φ = 77921395200.

The previous prime is 211142032337. The next prime is 211142032463. The reversal of 211142032400 is 4230241112.

It is an interprime number because it is at equal distance from previous prime (211142032337) and next prime (211142032463).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11779445 + ... + 11797355.

Almost surely, 2^211142032400 is an apocalyptic number.

211142032400 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 211142032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273280446432).

211142032400 is an abundant number, since it is smaller than the sum of its proper divisors (335418860464).

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

211142032400 is a wasteful number, since it uses less digits than its factorization.

211142032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20209 (or 20198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211142032400 its reverse (4230241112), we get a palindrome (215372273512).

The spelling of 211142032400 in words is "two hundred eleven billion, one hundred forty-two million, thirty-two thousand, four hundred".