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122123213133312 = 29379507300217
BaseRepresentation
bin11011110001001000000110…
…101111001101011000000000
3121000101212100200212120200110
4123301020012233031120000
5112001331320030231222
61111422343554551320
734503053032064226
oct3361100657153000
9530355320776613
10122123213133312
1135a04189082796
1211844368b98540
13531b228764a01
142222b1b8acb16
15e1ba8972d30c
hex6f1206bcd600

122123213133312 has 40 divisors (see below), whose sum is σ = 325343872492056. Its totient is φ = 40707737710592.

The previous prime is 122123213133277. The next prime is 122123213133359. The reversal of 122123213133312 is 213331312321221.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122123213133312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39753648573 + ... + 39753651644.

Almost surely, 2122123213133312 is an apocalyptic number.

122123213133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122123213133312 is an abundant number, since it is smaller than the sum of its proper divisors (203220659358744).

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

122123213133312 is an frugal number, since it uses more digits than its factorization.

122123213133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79507300238 (or 79507300222 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 122123213133312 its reverse (213331312321221), we get a palindrome (335454525454533).

The spelling of 122123213133312 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 79507300217 159014600434 238521900651 318029200868 477043801302 636058401736 954087602604 1272116803472 1908175205208 2544233606944 3816350410416 5088467213888 7632700820832 10176934427776 15265401641664 20353868855552 30530803283328 40707737711104 61061606566656 122123213133312