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1012001010120 = 2332522031276039
BaseRepresentation
bin11101011100111111111…
…01011111000111001000
310120202011002102220110100
432232133331133013020
5113040034224310440
62052523513445400
7133054220440512
oct16563775370710
93522132386410
101012001010120
11360207207481
12144171110860
137457b6c5069
1436da4248bb2
151b4d0136230
hexeb9ff5f1c8

1012001010120 has 96 divisors (see below), whose sum is σ = 3290498827200. Its totient is φ = 269744224896.

The previous prime is 1012001010113. The next prime is 1012001010127. The reversal of 1012001010120 is 210101002101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012001010113) and next prime (1012001010127).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1012001010127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155061 + ... + 1431099.

It is an arithmetic number, because the mean of its divisors is an integer number (34276029450).

Almost surely, 21012001010120 is an apocalyptic number.

1012001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012001010120 is an abundant number, since it is smaller than the sum of its proper divisors (2278497817080).

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

1012001010120 is a wasteful number, since it uses less digits than its factorization.

1012001010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278259 (or 1278252 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012001010120 its reverse (210101002101), we get a palindrome (1222102012221).

The spelling of 1012001010120 in words is "one trillion, twelve billion, one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2203 4406 6609 8812 11015 13218 17624 19827 22030 26436 33045 39654 44060 52872 66090 79308 88120 99135 132180 158616 198270 264360 396540 793080 1276039 2552078 3828117 5104156 6380195 7656234 10208312 11484351 12760390 15312468 19140585 22968702 25520780 30624936 38281170 45937404 51041560 57421755 76562340 91874808 114843510 153124680 229687020 459374040 2811113917 5622227834 8433341751 11244455668 14055569585 16866683502 22488911336 25300025253 28111139170 33733367004 42166708755 50600050506 56222278340 67466734008 84333417510 101200101012 112444556680 126500126265 168666835020 202400202024 253000252530 337333670040 506000505060 1012001010120