211212002100000 has 576 divisors, whose sum is σ = 756245681178624. Its totient is φ = 51185904000000.

The previous prime is 211212002099977. The next prime is 211212002100019. The reversal of 211212002100000 is 1200212112.

It is a super-2 number, since 2×211212002100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11982291187 + ... + 11982308813.

It is an arithmetic number, because the mean of its divisors is an integer number (1312926529824).

Almost surely, 2^{211212002100000} is an apocalyptic number.

211212002100000 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 211212002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378122840589312).

211212002100000 is an abundant number, since it is smaller than the sum of its proper divisors (545033679078624).

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

211212002100000 is a wasteful number, since it uses less digits than its factorization.

211212002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21307 (or 21279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211212002100000 its reverse (1200212112), we get a palindrome (211213202312112).

The spelling of 211212002100000 in words is "two hundred eleven trillion, two hundred twelve billion, two million, one hundred thousand".