Search a number
-
+
122102102120000 = 26543052552553
BaseRepresentation
bin11011110000110100011100…
…011011000101011001000000
3121000022211212102202222200112
4123300310130123011121000
5112001010101120320000
61111404533100410452
734501404626324402
oct3360643433053100
9530284772688615
10122102102120000
11359a62354a6a52
1211840256b46a28
135319242b51562
142221ab7c1cb72
15e1b2511a3235
hex6f0d1c6c5640

122102102120000 has 70 divisors (see below), whose sum is σ = 302773530173598. Its totient is φ = 48840840832000.

The previous prime is 122102102119967. The next prime is 122102102120003. The reversal of 122102102120000 is 21201201221.

It can be written as a sum of positive squares in 5 ways, for example, as 15572620718656 + 106529481401344 = 3946216^2 + 10321312^2 .

It is not an unprimeable number, because it can be changed into a prime (122102102120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1526236277 + ... + 1526316276.

Almost surely, 2122102102120000 is an apocalyptic number.

122102102120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102102120000 is an abundant number, since it is smaller than the sum of its proper divisors (180671428053598).

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

122102102120000 is an frugal number, since it uses more digits than its factorization.

122102102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052552585 (or 3052552560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122102102120000 its reverse (21201201221), we get a palindrome (122123303321221).

The spelling of 122102102120000 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 3052552553 6105105106 12210210212 15262762765 24420420424 30525525530 48840840848 61051051060 76313813825 97681681696 122102102120 152627627650 195363363392 244204204240 305255255300 381569069125 488408408480 610510510600 763138138250 976816816960 1221021021200 1526276276500 1907845345625 2442042042400 3052552553000 3815690691250 4884084084800 6105105106000 7631381382500 12210210212000 15262762765000 24420420424000 30525525530000 61051051060000 122102102120000