1121211012000 has 192 divisors, whose sum is σ = 3674567490048. Its totient is φ = 298869120000.

The previous prime is 1121211011993. The next prime is 1121211012013. The reversal of 1121211012000 is 2101121211.

It is a super-2 number, since 2×1121211012000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32034510 + ... + 32069490.

It is an arithmetic number, because the mean of its divisors is an integer number (19138372344).

Almost surely, 2^{1121211012000} is an apocalyptic number.

1121211012000 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 1121211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837283745024).

1121211012000 is an abundant number, since it is smaller than the sum of its proper divisors (2553356478048).

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

1121211012000 is a wasteful number, since it uses less digits than its factorization.

1121211012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37680 (or 37662 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121211012000 its reverse (2101121211), we get a palindrome (1123312133211).

The spelling of 1121211012000 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, twelve thousand".