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1122201120000 = 2835437179353
BaseRepresentation
bin10000010101001000011…
…001100010110100000000
310222021121010101111222110
4100111020121202310000
5121341231441320000
62215310532335320
7144035122063632
oct20251031426400
93867533344873
101122201120000
113a2a17305054
121615a6a74540
1381a914b727c
143c459c3ca52
151e2ceaaa850
hex10548662d00

1122201120000 has 720 divisors, whose sum is σ = 3865371935040. Its totient is φ = 288718848000.

The previous prime is 1122201119969. The next prime is 1122201120031. The reversal of 1122201120000 is 211022211.

It is an interprime number because it is at equal distance from previous prime (1122201119969) and next prime (1122201120031).

It is a super-3 number, since 3×11222011200003 (a number of 37 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3179039824 + ... + 3179040176.

It is an arithmetic number, because the mean of its divisors is an integer number (5368572132).

Almost surely, 21122201120000 is an apocalyptic number.

1122201120000 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 1122201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932685967520).

1122201120000 is an abundant number, since it is smaller than the sum of its proper divisors (2743170815040).

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

1122201120000 is an equidigital number, since it uses as much as digits as its factorization.

1122201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1122201120000 its reverse (211022211), we get a palindrome (1122412142211).

The spelling of 1122201120000 in words is "one trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty thousand".