1011001212000 has 288 divisors, whose sum is σ = 3864048420960. Its totient is φ = 248861721600.

The previous prime is 1011001211981. The next prime is 1011001212007. The reversal of 1011001212000 is 2121001101.

It is a happy number.

1011001212000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011001212007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612130 + ... + 1548129.

It is an arithmetic number, because the mean of its divisors is an integer number (13416834795).

Almost surely, 2^{1011001212000} is an apocalyptic number.

1011001212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011001212000 is an abundant number, since it is smaller than the sum of its proper divisors (2853047208960).

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

1011001212000 is a wasteful number, since it uses less digits than its factorization.

1011001212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160303 (or 2160282 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011001212000 its reverse (2121001101), we get a palindrome (1013122213101).

The spelling of 1011001212000 in words is "one trillion, eleven billion, one million, two hundred twelve thousand".