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12130551002040 = 2335313260900807
BaseRepresentation
bin1011000010000101110100…
…1011101111001110111000
31120221200001221211011010020
42300201131023233032320
53042221332024031130
641444410451050440
72361255235143552
oct260413513571670
946850057734106
1012130551002040
1139575a0885a19
12143ab94ba0a20
1369cba1795a13
142dd19c3184d2
15160824323e10
hexb085d2ef3b8

12130551002040 has 64 divisors (see below), whose sum is σ = 37565577308160. Its totient is φ = 3130464773760.

The previous prime is 12130551002039. The next prime is 12130551002047. The reversal of 12130551002040 is 4020015503121.

It is a happy number.

It is a super-2 number, since 2×121305510020402 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12130551002040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130551002047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630446684 + ... + 1630454123.

It is an arithmetic number, because the mean of its divisors is an integer number (586962145440).

Almost surely, 212130551002040 is an apocalyptic number.

12130551002040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130551002040 is an abundant number, since it is smaller than the sum of its proper divisors (25435026306120).

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

12130551002040 is a wasteful number, since it uses less digits than its factorization.

12130551002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260900852 (or 3260900848 counting only the distinct ones).

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

Adding to 12130551002040 its reverse (4020015503121), we get a palindrome (16150566505161).

The spelling of 12130551002040 in words is "twelve trillion, one hundred thirty billion, five hundred fifty-one million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 3260900807 6521801614 9782702421 13043603228 16304504035 19565404842 26087206456 32609008070 39130809684 48913512105 65218016140 78261619368 97827024210 101087925017 130436032280 195654048420 202175850034 303263775051 391308096840 404351700068 505439625085 606527550102 808703400136 1010879250170 1213055100204 1516318875255 2021758500340 2426110200408 3032637750510 4043517000680 6065275501020 12130551002040