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1122214131312 = 243191230497951
BaseRepresentation
bin10000010101001001001…
…011001011011001110000
310222021122000212120010220
4100111021023023121300
5121341243304200222
62215312115253040
7144035340504531
oct20251113133160
93867560776126
101122214131312
113a2a236916aa
121615ab2aa180
1381a940c1681
143c45b868688
151e2d0ccab5c
hex105492cb670

1122214131312 has 40 divisors (see below), whose sum is σ = 3051634920960. Its totient is φ = 354383409600.

The previous prime is 1122214131307. The next prime is 1122214131359. The reversal of 1122214131312 is 2131314122211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615248064 + ... + 615249887.

It is an arithmetic number, because the mean of its divisors is an integer number (76290873024).

Almost surely, 21122214131312 is an apocalyptic number.

1122214131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122214131312 is an abundant number, since it is smaller than the sum of its proper divisors (1929420789648).

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

1122214131312 is a wasteful number, since it uses less digits than its factorization.

1122214131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230497981 (or 1230497975 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 1122214131312 its reverse (2131314122211), we get a palindrome (3253528253523).

The spelling of 1122214131312 in words is "one trillion, one hundred twenty-two billion, two hundred fourteen million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1230497951 2460995902 3691493853 4921991804 7382987706 9843983608 14765975412 19687967216 23379461069 29531950824 46758922138 59063901648 70138383207 93517844276 140276766414 187035688552 280553532828 374071377104 561107065656 1122214131312