211212002121120 has 3456 divisors, whose sum is σ = 1019909867558400. Its totient is φ = 39410927861760.

The previous prime is 211212002121119. The next prime is 211212002121121. The reversal of 211212002121120 is 21121200212112.

211212002121120 is a `hidden beast` number, since 21 + 121 + 200 + 212 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (211212002121119) and next prime (211212002121121).

It is a super-2 number, since 2×211212002121120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211212002121093 and 211212002121102.

It is not an unprimeable number, because it can be changed into a prime (211212002121121) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 33973296252 + ... + 33973302468.

It is an arithmetic number, because the mean of its divisors is an integer number (295112808900).

Almost surely, 2^{211212002121120} is an apocalyptic number.

211212002121120 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 211212002121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509954933779200).

211212002121120 is an abundant number, since it is smaller than the sum of its proper divisors (808697865437280).

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

211212002121120 is a wasteful number, since it uses less digits than its factorization.

211212002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211212002121120 its reverse (21121200212112), we get a palindrome (232333202333232).

The spelling of 211212002121120 in words is "two hundred eleven trillion, two hundred twelve billion, two million, one hundred twenty-one thousand, one hundred twenty".