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12130034030040 = 2335103981394339
BaseRepresentation
bin1011000010000011111001…
…0111101001010111011000
31120221121201221001020212010
42300200332113221113120
53042214302202430130
641444243302345520
72361236360021553
oct260407627512730
946847657036763
1012130034030040
113957355a87233
12143aa6ba2b2a0
1369cb1b64a824
142dd14d7c569a
151607e3c570b0
hexb083e5e95d8

12130034030040 has 64 divisors (see below), whose sum is σ = 36743404089600. Its totient is φ = 3203271119232.

The previous prime is 12130034030039. The next prime is 12130034030041. The reversal of 12130034030040 is 4003043003121.

12130034030040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12130034030039) and next prime (12130034030041).

It is a junction number, because it is equal to n+sod(n) for n = 12130034029989 and 12130034030016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130034030041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490684810 + ... + 490709529.

It is an arithmetic number, because the mean of its divisors is an integer number (574115688900).

Almost surely, 212130034030040 is an apocalyptic number.

12130034030040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130034030040 is an abundant number, since it is smaller than the sum of its proper divisors (24613370059560).

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

12130034030040 is a wasteful number, since it uses less digits than its factorization.

12130034030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981394456 (or 981394452 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12130034030040 its reverse (4003043003121), we get a palindrome (16133077033161).

The spelling of 12130034030040 in words is "twelve trillion, one hundred thirty billion, thirty-four million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 981394339 1962788678 2944183017 3925577356 4906971695 5888366034 7851154712 9813943390 11776732068 14720915085 19627886780 23553464136 29441830170 39255773560 58883660340 101083616917 117767320680 202167233834 303250850751 404334467668 505418084585 606501701502 808668935336 1010836169170 1213003403004 1516254253755 2021672338340 2426006806008 3032508507510 4043344676680 6065017015020 12130034030040