1220010212000 has 192 divisors, whose sum is σ = 3022463808000. Its totient is φ = 483961420800.

The previous prime is 1220010211963. The next prime is 1220010212021. The reversal of 1220010212000 is 2120100221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511962809 + ... + 511965191.

It is an arithmetic number, because the mean of its divisors is an integer number (15741999000).

Almost surely, 2^{1220010212000} is an apocalyptic number.

1220010212000 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 1220010212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511231904000).

1220010212000 is an abundant number, since it is smaller than the sum of its proper divisors (1802453596000).

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

1220010212000 is a wasteful number, since it uses less digits than its factorization.

1220010212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1220010212000 its reverse (2120100221), we get a palindrome (1222130312221).

The spelling of 1220010212000 in words is "one trillion, two hundred twenty billion, ten million, two hundred twelve thousand".