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161212900000 = 25551938353
BaseRepresentation
bin1001011000100100001…
…0011010001010100000
3120102010012111212000011
42112021002122022200
510120131000300000
6202020555534304
714435002016545
oct2261102321240
9512105455004
10161212900000
116240852a959
12272b1a5a394
1312282629929
147b34a40bcc
1542d81c52ba
hex258909a2a0

161212900000 has 144 divisors (see below), whose sum is σ = 398812708728. Its totient is φ = 64143360000.

The previous prime is 161212899977. The next prime is 161212900001. The reversal of 161212900000 is 9212161.

It can be written as a sum of positive squares in 12 ways, for example, as 83199941136 + 78012958864 = 288444^2 + 279308^2 .

It is not an unprimeable number, because it can be changed into a prime (161212900001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19295824 + ... + 19304176.

Almost surely, 2161212900000 is an apocalyptic number.

161212900000 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 161212900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199406354364).

161212900000 is an abundant number, since it is smaller than the sum of its proper divisors (237599808728).

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

161212900000 is an frugal number, since it uses more digits than its factorization.

161212900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8581 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 161212900000 in words is "one hundred sixty-one billion, two hundred twelve million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 193 200 250 386 400 500 625 772 800 965 1000 1250 1544 1930 2000 2500 3088 3125 3860 4000 4825 5000 6176 6250 7720 8353 9650 10000 12500 15440 16706 19300 20000 24125 25000 30880 33412 38600 41765 48250 50000 66824 77200 83530 96500 100000 120625 133648 154400 167060 193000 208825 241250 267296 334120 386000 417650 482500 603125 668240 772000 835300 965000 1044125 1206250 1336480 1612129 1670600 1930000 2088250 2412500 3224258 3341200 3860000 4176500 4825000 5220625 6448516 6682400 8060645 8353000 9650000 10441250 12897032 16121290 16706000 19300000 20882500 25794064 26103125 32242580 33412000 40303225 41765000 51588128 52206250 64485160 80606450 83530000 104412500 128970320 161212900 167060000 201516125 208825000 257940640 322425800 403032250 417650000 644851600 806064500 835300000 1007580625 1289703200 1612129000 2015161250 3224258000 4030322500 5037903125 6448516000 8060645000 10075806250 16121290000 20151612500 32242580000 40303225000 80606450000 161212900000