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12021617652 = 22311263113121
BaseRepresentation
bin10110011001000101…
…10101001111110100
31011000210210110012020
423030202311033310
5144110013231102
65304520553140
7603623030652
oct131442651764
934023713166
1012021617652
115109987300
1223b60227b0
131197793335
14820847dd2
154a55e0bbc
hex2cc8b53f4

12021617652 has 72 divisors (see below), whose sum is σ = 30883519296. Its totient is φ = 3636864000.

The previous prime is 12021617611. The next prime is 12021617681. The reversal of 12021617652 is 25671612021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909652 + ... + 922772.

It is an arithmetic number, because the mean of its divisors is an integer number (428937768).

Almost surely, 212021617652 is an apocalyptic number.

12021617652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021617652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441759648).

12021617652 is an abundant number, since it is smaller than the sum of its proper divisors (18861901644).

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

12021617652 is a wasteful number, since it uses less digits than its factorization.

12021617652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13781 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 12021617652 in words is "twelve billion, twenty-one million, six hundred seventeen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 631 726 1262 1452 1893 2524 3786 6941 7572 13121 13882 20823 26242 27764 39363 41646 52484 76351 78726 83292 144331 152702 157452 229053 288662 305404 432993 458106 577324 865986 916212 1587641 1731972 3175282 4762923 6350564 8279351 9525846 16558702 19051692 24838053 33117404 49676106 91072861 99352212 182145722 273218583 364291444 546437166 1001801471 1092874332 2003602942 3005404413 4007205884 6010808826 12021617652