3011101212000 has 384 divisors, whose sum is σ = 11763725395968. Its totient is φ = 658327296000.

The previous prime is 3011101211959. The next prime is 3011101212107. The reversal of 3011101212000 is 2121011103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1152730 + ... + 2711270.

It is an arithmetic number, because the mean of its divisors is an integer number (30634701552).

Almost surely, 2^{3011101212000} is an apocalyptic number.

3011101212000 is a gapful number since it is divisible by the number (30) 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 3011101212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881862697984).

3011101212000 is an abundant number, since it is smaller than the sum of its proper divisors (8752624183968).

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

3011101212000 is a wasteful number, since it uses less digits than its factorization.

3011101212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558599 (or 1558581 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 3011101212000 its reverse (2121011103), we get a palindrome (3013222223103).

The spelling of 3011101212000 in words is "three trillion, eleven billion, one hundred one million, two hundred twelve thousand".