1021212312120 has 1536 divisors, whose sum is σ = 4612071260160. Its totient is φ = 189112320000.

The previous prime is 1021212312103. The next prime is 1021212312121. The reversal of 1021212312120 is 212132121201.

1021212312120 is a `hidden beast` number, since 1 + 0 + 21 + 212 + 312 + 120 = 666.

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 = 1021212312093 and 1021212312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021212312121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2546663920 + ... + 2546664320.

It is an arithmetic number, because the mean of its divisors is an integer number (3002650560).

Almost surely, 2^{1021212312120} is an apocalyptic number.

1021212312120 is a gapful number since it is divisible by the number (10) 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 1021212312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306035630080).

1021212312120 is an abundant number, since it is smaller than the sum of its proper divisors (3590858948040).

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

1021212312120 is a wasteful number, since it uses less digits than its factorization.

1021212312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1021212312120 its reverse (212132121201), we get a palindrome (1233344433321).

The spelling of 1021212312120 in words is "one trillion, twenty-one billion, two hundred twelve million, three hundred twelve thousand, one hundred twenty".