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1121222111100 = 22352721337158573
BaseRepresentation
bin10000010100001110000…
…010111010111101111100
310222012001220012201020120
4100110032002322331330
5121332230330023400
62215025441014540
7144001633460400
oct20241602727574
93865056181216
101121222111100
113a2564719193
12161373024450
1381966719670
143c3a5bd7100
151e273b73ca0
hex1050e0baf7c

1121222111100 has 432 divisors, whose sum is σ = 4173863043168. Its totient is φ = 230170429440.

The previous prime is 1121222111057. The next prime is 1121222111101. The reversal of 1121222111100 is 11112221211.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1121222111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121222111101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6991414 + ... + 7149986.

Almost surely, 21121222111100 is an apocalyptic number.

1121222111100 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 1121222111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086931521584).

1121222111100 is an abundant number, since it is smaller than the sum of its proper divisors (3052640932068).

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

1121222111100 is a wasteful number, since it uses less digits than its factorization.

1121222111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158654 (or 158640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121222111100 its reverse (11112221211), we get a palindrome (1132334332311).

It can be divided in two parts, 112122 and 2111100, that added together give a palindrome (2223222).

The spelling of 1121222111100 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred".