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122122121120 = 2552341809399
BaseRepresentation
bin111000110111100001…
…0111010111110100000
3102200012220022112101222
41301233002322332200
54000101230333440
6132034020514212
711552204621306
oct1615702727640
9380186275358
10122122121120
114787883212a
121b80254b968
13b692a4bc3c
145ca7110276
15329b43c2b5
hex1c6f0bafa0

122122121120 has 96 divisors (see below), whose sum is σ = 308400825600. Its totient is φ = 45585295360.

The previous prime is 122122121117. The next prime is 122122121123. The reversal of 122122121120 is 21121221221.

It is an interprime number because it is at equal distance from previous prime (122122121117) and next prime (122122121123).

It is not an unprimeable number, because it can be changed into a prime (122122121123) 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, 253820 + ... + 555579.

It is an arithmetic number, because the mean of its divisors is an integer number (3212508600).

Almost surely, 2122122121120 is an apocalyptic number.

122122121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122121120 is an abundant number, since it is smaller than the sum of its proper divisors (186278704480).

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

122122121120 is a wasteful number, since it uses less digits than its factorization.

122122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809478 (or 809470 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122122121120 its reverse (21121221221), we get a palindrome (143243342341).

The spelling of 122122121120 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 80 82 92 115 160 164 184 205 230 328 368 410 460 656 736 820 920 943 1312 1640 1840 1886 3280 3680 3772 4715 6560 7544 9430 15088 18860 30176 37720 75440 150880 809399 1618798 3237596 4046995 6475192 8093990 12950384 16187980 18616177 25900768 32375960 33185359 37232354 64751920 66370718 74464708 93080885 129503840 132741436 148929416 165926795 186161770 265482872 297858832 331853590 372323540 530965744 595717664 663707180 744647080 763263257 1061931488 1327414360 1489294160 1526526514 2654828720 2978588320 3053053028 3816316285 5309657440 6106106056 7632632570 12212212112 15265265140 24424424224 30530530280 61061060560 122122121120