1011232212000 has 384 divisors, whose sum is σ = 3498755420160. Its totient is φ = 254619417600.

The previous prime is 1011232211959. The next prime is 1011232212049. The reversal of 1011232212000 is 2122321101.

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 63 ways as a sum of consecutive naturals, for example, 69988777 + ... + 70003223.

It is an arithmetic number, because the mean of its divisors is an integer number (9111342240).

Almost surely, 2^{1011232212000} is an apocalyptic number.

1011232212000 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 1011232212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749377710080).

1011232212000 is an abundant number, since it is smaller than the sum of its proper divisors (2487523208160).

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

1011232212000 is a wasteful number, since it uses less digits than its factorization.

1011232212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14801 (or 14783 counting only the distinct ones).

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

Adding to 1011232212000 its reverse (2122321101), we get a palindrome (1013354533101).

The spelling of 1011232212000 in words is "one trillion, eleven billion, two hundred thirty-two million, two hundred twelve thousand".