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12261045360 = 2435244120929
BaseRepresentation
bin10110110101101000…
…01011010001110000
31011122111022122021010
423122310023101300
5200102311422420
65344352430520
7612561110634
oct133264132160
934574278233
1012261045360
115222049943
122462248440
131205273835
14844570dc4
154bb6374e0
hex2dad0b470

12261045360 has 80 divisors (see below), whose sum is σ = 38026628640. Its totient is φ = 3268116480.

The previous prime is 12261045353. The next prime is 12261045361. The reversal of 12261045360 is 6354016221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261045361) 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, 575376 + ... + 596304.

It is an arithmetic number, because the mean of its divisors is an integer number (475332858).

Almost surely, 212261045360 is an apocalyptic number.

12261045360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12261045360 is an abundant number, since it is smaller than the sum of its proper divisors (25765583280).

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

12261045360 is a wasteful number, since it uses less digits than its factorization.

12261045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23386 (or 23380 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 12261045360 in words is "twelve billion, two hundred sixty-one million, forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2441 4882 7323 9764 12205 14646 19528 20929 24410 29292 36615 39056 41858 48820 58584 62787 73230 83716 97640 104645 117168 125574 146460 167432 195280 209290 251148 292920 313935 334864 418580 502296 585840 627870 837160 1004592 1255740 1674320 2511480 5022960 51087689 102175378 153263067 204350756 255438445 306526134 408701512 510876890 613052268 766315335 817403024 1021753780 1226104536 1532630670 2043507560 2452209072 3065261340 4087015120 6130522680 12261045360