Search a number
-
+
122212021210974 = 2337193739340049
BaseRepresentation
bin11011110010011010110100…
…000111001000111101011110
3121000201100120212221100202000
4123302122310013020331132
5112004310204412222344
61111531232200143130
734512345546224442
oct3362326407107536
9530640525840660
10122212021210974
1135a38910a049a2
1211859612767aa6
13532670c6603a6
142227144380822
15e1e036117a69
hex6f26b41c8f5e

122212021210974 has 64 divisors (see below), whose sum is σ = 275411119680000. Its totient is φ = 40163028474240.

The previous prime is 122212021210973. The next prime is 122212021211017. The reversal of 122212021210974 is 479012120212221.

122212021210974 is a `hidden beast` number, since 1 + 222 + 120 + 212 + 10 + 97 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212021210973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359225302 + ... + 359565350.

It is an arithmetic number, because the mean of its divisors is an integer number (4303298745000).

Almost surely, 2122212021210974 is an apocalyptic number.

122212021210974 is an abundant number, since it is smaller than the sum of its proper divisors (153199098469026).

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

122212021210974 is a wasteful number, since it uses less digits than its factorization.

122212021210974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433870 (or 433864 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 122212021210974 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-one million, two hundred ten thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 93739 187478 281217 340049 562434 680098 843651 1020147 1687302 2040294 2530953 3060441 5061906 6120882 6655469 9181323 13310938 18362646 19966407 24143479 39932814 48286958 59899221 72430437 119798442 144860874 179697663 217291311 359395326 434582622 651873933 1303747866 31875853211 63751706422 95627559633 191255119266 286882678899 573765357798 860648036697 1721296073394 2263185577981 4526371155962 6789556733943 13579113467886 20368670201829 40737340403658 61106010605487 122212021210974