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122103000120 = 23352935087069
BaseRepresentation
bin111000110110111100…
…1111110110000111000
3102200011120100002022210
41301231321332300320
54000031332000440
6132032055015120
711551553243043
oct1615571766070
9380146302283
10122103000120
1147868a62252
121b7b806a4a0
13b68bab593a
145ca4773c5a
153299911a80
hex1c6de7ec38

122103000120 has 64 divisors (see below), whose sum is σ = 378940356000. Its totient is φ = 31438012928.

The previous prime is 122103000119. The next prime is 122103000127. The reversal of 122103000120 is 21000301221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122103000096 and 122103000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103000127) 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, 17540055 + ... + 17547014.

Almost surely, 2122103000120 is an apocalyptic number.

122103000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122103000120 is an abundant number, since it is smaller than the sum of its proper divisors (256837355880).

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

122103000120 is a wasteful number, since it uses less digits than its factorization.

122103000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35087112 (or 35087108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122103000120 its reverse (21000301221), we get a palindrome (143103301341).

The spelling of 122103000120 in words is "one hundred twenty-two billion, one hundred three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 35087069 70174138 105261207 140348276 175435345 210522414 280696552 350870690 421044828 526306035 701741380 842089656 1017525001 1052612070 1403482760 2035050002 2105224140 3052575003 4070100004 4210448280 5087625005 6105150006 8140200008 10175250010 12210300012 15262875015 20350500020 24420600024 30525750030 40701000040 61051500060 122103000120