1121001211000 has 128 divisors (see below), whose sum is σ = 2862742072320. Its totient is φ = 407475600000.

The previous prime is 1121001210947. The next prime is 1121001211007. The reversal of 1121001211000 is 1121001211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121001211007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29802205 + ... + 29839795.

It is an arithmetic number, because the mean of its divisors is an integer number (22365172440).

Almost surely, 2^{1121001211000} is an apocalyptic number.

1121001211000 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 1121001211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431371036160).

1121001211000 is an abundant number, since it is smaller than the sum of its proper divisors (1741740861320).

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

1121001211000 is a wasteful number, since it uses less digits than its factorization.

1121001211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40334 (or 40320 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1121001211000 its reverse (1121001211), we get a palindrome (1122122212211).

1121001211000 divided by its reverse (1121001211) gives a cube (1000 = 10³).

The spelling of 1121001211000 in words is "one trillion, one hundred twenty-one billion, one million, two hundred eleven thousand".