Search a number
-
+
122101211211020 = 22541156019544511
BaseRepresentation
bin11011110000110011100111…
…010100100010010100001100
3121000022202120100101010022122
4123300303213110202110030
5112001001240032223040
61111404304433232112
734501343560611206
oct3360634724422414
9530282510333278
10122101211211020
11359a5918613938
1211840048702638
1353191303bba92
142221a3178b776
15e1b1ecd701b5
hex6f0ce752250c

122101211211020 has 48 divisors (see below), whose sum is σ = 262683372059136. Its totient is φ = 47646193920000.

The previous prime is 122101211211013. The next prime is 122101211211071. The reversal of 122101211211020 is 20112112101221.

It is a super-2 number, since 2×1221012112110202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122101211211020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8020565 + ... + 17565075.

It is an arithmetic number, because the mean of its divisors is an integer number (5472570251232).

Almost surely, 2122101211211020 is an apocalyptic number.

122101211211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101211211020 is an abundant number, since it is smaller than the sum of its proper divisors (140582160848116).

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

122101211211020 is a wasteful number, since it uses less digits than its factorization.

122101211211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560162 (or 9560160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122101211211020 its reverse (20112112101221), we get a palindrome (142213323312241).

The spelling of 122101211211020 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred eleven million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 15601 31202 62404 78005 156010 312020 639641 1279282 2558564 3198205 6396410 9544511 12792820 19089022 38178044 47722555 95445110 190890220 391324951 782649902 1565299804 1956624755 3913249510 7826499020 148903916111 297807832222 595615664444 744519580555 1489039161110 2978078322220 6105060560551 12210121121102 24420242242204 30525302802755 61050605605510 122101211211020