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1012232000120 = 235112577362459
BaseRepresentation
bin11101011101011011011…
…10101001001001111000
310120202202012002102011112
432232231232221021320
5113041022343000440
62053002444415452
7133063024015655
oct16565556511170
93522665072145
101012232000120
11360315636700
12144216547588
13745b750cb33
1436dc6bb6c2c
151b4e5562965
hexebadba9278

1012232000120 has 96 divisors (see below), whose sum is σ = 2507737503600. Its totient is φ = 367445422080.

The previous prime is 1012232000071. The next prime is 1012232000137. The reversal of 1012232000120 is 210002322101.

It is a happy number.

It is a super-2 number, since 2×10122320001202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012232000095 and 1012232000104.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2611451 + ... + 2973909.

Almost surely, 21012232000120 is an apocalyptic number.

1012232000120 is a gapful number since it is divisible by the number (10) 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 1012232000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253868751800).

1012232000120 is an abundant number, since it is smaller than the sum of its proper divisors (1495505503480).

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

1012232000120 is a wasteful number, since it uses less digits than its factorization.

1012232000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363069 (or 363054 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1012232000120 its reverse (210002322101), we get a palindrome (1222234322221).

The spelling of 1012232000120 in words is "one trillion, twelve billion, two hundred thirty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 577 605 968 1154 1210 2308 2420 2885 4616 4840 5770 6347 11540 12694 23080 25388 31735 50776 63470 69817 126940 139634 253880 279268 349085 362459 558536 698170 724918 1396340 1449836 1812295 2792680 2899672 3624590 3987049 7249180 7974098 14498360 15948196 19935245 31896392 39870490 43857539 79740980 87715078 159481960 175430156 209138843 219287695 350860312 418277686 438575390 836555372 877150780 1045694215 1673110744 1754301560 2091388430 2300527273 4182776860 4601054546 8365553720 9202109092 11502636365 18404218184 23005272730 25305800003 46010545460 50611600006 92021090920 101223200012 126529000015 202446400024 253058000030 506116000060 1012232000120