11122121010000 has 3200 divisors, whose sum is σ = 51511463055360. Its totient is φ = 1990656000000.

The previous prime is 11122121009999. The next prime is 11122121010043. The reversal of 11122121010000 is 1012122111.

It is a super-2 number, since 2×11122121010000² (a number of 27 digits) contains 22 as substring.

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 639 ways as a sum of consecutive naturals, for example, 57627569904 + ... + 57627570096.

Almost surely, 2^{11122121010000} is an apocalyptic number.

11122121010000 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 11122121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25755731527680).

11122121010000 is an abundant number, since it is smaller than the sum of its proper divisors (40389342045360).

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

11122121010000 is a wasteful number, since it uses less digits than its factorization.

11122121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

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

Adding to 11122121010000 its reverse (1012122111), we get a palindrome (11123133132111).

It can be divided in two parts, 1112212 and 1010000, that added together give a palindrome (2122212).

The spelling of 11122121010000 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, ten thousand".