20110212000 has 288 divisors, whose sum is σ = 71805923280. Its totient is φ = 5330073600.

The previous prime is 20110211969. The next prime is 20110212011. The reversal of 20110212000 is 21201102.

It can be written as a sum of positive squares in 8 ways, for example, as 1959655824 + 18150556176 = 44268^2 + 134724^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 6226386 + ... + 6229614.

Almost surely, 2^20110212000 is an apocalyptic number.

20110212000 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 20110212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35902961640).

20110212000 is an abundant number, since it is smaller than the sum of its proper divisors (51695711280).

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

20110212000 is a wasteful number, since it uses less digits than its factorization.

20110212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20110212000 its reverse (21201102), we get a palindrome (20131413102).

It can be divided in two parts, 2011021 and 2000, that added together give a triangular number (2013021 = T₂₀₀₆).

The spelling of 20110212000 in words is "twenty billion, one hundred ten million, two hundred twelve thousand".