Search a number
-
+
1212678144 = 21932257
BaseRepresentation
bin100100001001000…
…0000000000000000
310010111212102200100
41020102000000000
54440421200034
6320155522400
742023410536
oct11022000000
93114772610
101212678144
11572586047
1229a159400
13164313042
14b70b0156
15716e2099
hex48480000

1212678144 has 120 divisors (see below), whose sum is σ = 3516920550. Its totient is φ = 402653184.

The previous prime is 1212678101. The next prime is 1212678157. The reversal of 1212678144 is 4418762121.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 681836544 + 530841600 = 26112^2 + 23040^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1212678099 and 1212678108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4718464 + ... + 4718720.

Almost surely, 21212678144 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 1212678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758460275).

1212678144 is an abundant number, since it is smaller than the sum of its proper divisors (2304242406).

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

1212678144 is an frugal number, since it uses more digits than its factorization.

1212678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 262 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1212678144 is about 34823.5285977742. The cubic root of 1212678144 is about 1066.3878382312.

The spelling of 1212678144 in words is "one billion, two hundred twelve million, six hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 257 288 384 512 514 576 768 771 1024 1028 1152 1536 1542 2048 2056 2304 2313 3072 3084 4096 4112 4608 4626 6144 6168 8192 8224 9216 9252 12288 12336 16384 16448 18432 18504 24576 24672 32768 32896 36864 37008 49152 49344 65536 65792 73728 74016 98304 98688 131072 131584 147456 148032 196608 197376 262144 263168 294912 296064 393216 394752 524288 526336 589824 592128 786432 789504 1052672 1179648 1184256 1572864 1579008 2105344 2359296 2368512 3158016 4210688 4718592 4737024 6316032 8421376 9474048 12632064 16842752 18948096 25264128 33685504 37896192 50528256 67371008 75792384 101056512 134742016 151584768 202113024 303169536 404226048 606339072 1212678144