20011211011000 has 256 divisors, whose sum is σ = 53041328496000. Its totient is φ = 6999731200000.

The previous prime is 20011211010943. The next prime is 20011211011027. The reversal of 20011211011000 is 11011211002.

It is a super-2 number, since 2×20011211011000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85694400 + ... + 85927600.

Almost surely, 2^{20011211011000} is an apocalyptic number.

20011211011000 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 20011211011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26520664248000).

20011211011000 is an abundant number, since it is smaller than the sum of its proper divisors (33030117485000).

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

20011211011000 is a wasteful number, since it uses less digits than its factorization.

20011211011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233531 (or 233517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20011211011000 its reverse (11011211002), we get a palindrome (20022222222002).

The spelling of 20011211011000 in words is "twenty trillion, eleven billion, two hundred eleven million, eleven thousand".