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120213008192 = 267950347269
BaseRepresentation
bin110111111110101000…
…0001110111101000000
3102111021211222112210202
41233331100032331000
53432144012230232
6131120341544332
711453663465354
oct1577520167500
9374254875722
10120213008192
1146a89122352
121b36b1150a8
13b44a377514
145b65753464
1531d8a2e162
hex1bfd40ef40

120213008192 has 56 divisors (see below), whose sum is σ = 242052652800. Its totient is φ = 59226425856.

The previous prime is 120213008161. The next prime is 120213008219. The reversal of 120213008192 is 291800312021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2519534 + ... + 2566802.

It is an arithmetic number, because the mean of its divisors is an integer number (4322368800).

Almost surely, 2120213008192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120213008192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121026326400).

120213008192 is an abundant number, since it is smaller than the sum of its proper divisors (121839644608).

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

120213008192 is an equidigital number, since it uses as much as digits as its factorization.

120213008192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47863 (or 47853 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 120213008192 in words is "one hundred twenty billion, two hundred thirteen million, eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 79 158 316 503 632 1006 1264 2012 2528 4024 5056 8048 16096 32192 39737 47269 79474 94538 158948 189076 317896 378152 635792 756304 1271584 1512608 2543168 3025216 3734251 7468502 14937004 23776307 29874008 47552614 59748016 95105228 119496032 190210456 238992064 380420912 760841824 1521683648 1878328253 3756656506 7513313012 15026626024 30053252048 60106504096 120213008192