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12131255400 = 23352111838069
BaseRepresentation
bin10110100110001010…
…00100010001101000
31011022110002121220120
423103011010101220
5144321100133100
65323434523240
7606423653355
oct132305042150
934273077816
1012131255400
115165860810
122426896520
1311b43cc844
1483122762c
154b004b0a0
hex2d3144468

12131255400 has 96 divisors (see below), whose sum is σ = 41025722400. Its totient is φ = 2940908800.

The previous prime is 12131255387. The next prime is 12131255407. The reversal of 12131255400 is 455213121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12131255407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 912435 + ... + 925634.

It is an arithmetic number, because the mean of its divisors is an integer number (427351275).

Almost surely, 212131255400 is an apocalyptic number.

12131255400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131255400 is an abundant number, since it is smaller than the sum of its proper divisors (28894467000).

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

12131255400 is a wasteful number, since it uses less digits than its factorization.

12131255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838099 (or 1838090 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 12131255400 its reverse (455213121), we get a palindrome (12586468521).

The spelling of 12131255400 in words is "twelve billion, one hundred thirty-one million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1838069 3676138 5514207 7352276 9190345 11028414 14704552 18380690 20218759 22056828 27571035 36761380 40437518 44113656 45951725 55142070 60656277 73522760 80875036 91903450 101093795 110284140 121312554 137855175 161750072 183806900 202187590 220568280 242625108 275710350 303281385 367613800 404375180 485250216 505468975 551420700 606562770 808750360 1010937950 1102841400 1213125540 1516406925 2021875900 2426251080 3032813850 4043751800 6065627700 12131255400