211003120122000 has 480 divisors, whose sum is σ = 705056286759552. Its totient is φ = 54287418240000.

The previous prime is 211003120121957. The next prime is 211003120122013. The reversal of 211003120122000 is 221021300112.

It is a super-2 number, since 2×211003120122000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1908490722 + ... + 1908601278.

Almost surely, 2^{211003120122000} is an apocalyptic number.

211003120122000 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 211003120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352528143379776).

211003120122000 is an abundant number, since it is smaller than the sum of its proper divisors (494053166637552).

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

211003120122000 is a wasteful number, since it uses less digits than its factorization.

211003120122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110976 (or 110929 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211003120122000 its reverse (221021300112), we get a palindrome (211224141422112).

The spelling of 211003120122000 in words is "two hundred eleven trillion, three billion, one hundred twenty million, one hundred twenty-two thousand".