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122103224120 = 23519712262847
BaseRepresentation
bin111000110110111101…
…0110101011100111000
3102200011120202110121002
41301231322311130320
54000031411132440
6132032103504132
711551555165103
oct1615572653470
9380146673532
10122103224120
11478690a5579
121b7b8158048
13b68bb63897
145ca47d173a
153299958115
hex1c6deb5738

122103224120 has 64 divisors (see below), whose sum is σ = 293265100800. Its totient is φ = 45618975360.

The previous prime is 122103224119. The next prime is 122103224123. The reversal of 122103224120 is 21422301221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122103224092 and 122103224101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103224123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077464 + ... + 1185383.

It is an arithmetic number, because the mean of its divisors is an integer number (4582267200).

Almost surely, 2122103224120 is an apocalyptic number.

122103224120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122103224120 is an abundant number, since it is smaller than the sum of its proper divisors (171161876680).

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

122103224120 is a wasteful number, since it uses less digits than its factorization.

122103224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262948 (or 2262944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122103224120 its reverse (21422301221), we get a palindrome (143525525341).

The spelling of 122103224120 in words is "one hundred twenty-two billion, one hundred three million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 190 284 355 380 568 710 760 1349 1420 2698 2840 5396 6745 10792 13490 26980 53960 2262847 4525694 9051388 11314235 18102776 22628470 42994093 45256940 85988186 90513880 160662137 171976372 214970465 321324274 343952744 429940930 642648548 803310685 859881860 1285297096 1606621370 1719763720 3052580603 3213242740 6105161206 6426485480 12210322412 15262903015 24420644824 30525806030 61051612060 122103224120