1123101213000 has 256 divisors, whose sum is σ = 3775238288640. Its totient is φ = 276337152000.

The previous prime is 1123101212993. The next prime is 1123101213007. The reversal of 1123101213000 is 3121013211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123101212993) and next prime (1123101213007).

It is a super-2 number, since 2×1123101213000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1123101213007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121714387 + ... + 121723613.

It is an arithmetic number, because the mean of its divisors is an integer number (14747024565).

Almost surely, 2^{1123101213000} is an apocalyptic number.

1123101213000 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 1123101213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887619144320).

1123101213000 is an abundant number, since it is smaller than the sum of its proper divisors (2652137075640).

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

1123101213000 is a wasteful number, since it uses less digits than its factorization.

1123101213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12385 (or 12371 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1123101213000 its reverse (3121013211), we get a palindrome (1126222226211).

The spelling of 1123101213000 in words is "one trillion, one hundred twenty-three billion, one hundred one million, two hundred thirteen thousand".