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120421148472 = 23331189746861
BaseRepresentation
bin111000000100110101…
…0001110011100111000
3102111211100122011121000
41300021222032130320
53433110303222342
6131153135045000
711462101605342
oct1601152163470
9374740564530
10120421148472
1147085665209
121b408970760
13b481521a51
145b85254292
1531ebe4544c
hex1c09a8e738

120421148472 has 64 divisors (see below), whose sum is σ = 334538445600. Its totient is φ = 40136152320.

The previous prime is 120421148467. The next prime is 120421148521. The reversal of 120421148472 is 274841124021.

It is a happy number.

120421148472 is a `hidden beast` number, since 1 + 2 + 0 + 42 + 1 + 148 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2546322 + ... + 2593182.

Almost surely, 2120421148472 is an apocalyptic number.

120421148472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120421148472 is an abundant number, since it is smaller than the sum of its proper divisors (214117297128).

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

120421148472 is a wasteful number, since it uses less digits than its factorization.

120421148472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58773 (or 58763 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 120421148472 in words is "one hundred twenty billion, four hundred twenty-one million, one hundred forty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 11897 23794 35691 46861 47588 71382 93722 95176 107073 140583 142764 187444 214146 281166 285528 321219 374888 421749 428292 562332 642438 843498 856584 1124664 1265247 1284876 1686996 2530494 2569752 3373992 5060988 10121976 557505317 1115010634 1672515951 2230021268 3345031902 4460042536 5017547853 6690063804 10035095706 13380127608 15052643559 20070191412 30105287118 40140382824 60210574236 120421148472