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122010121310 = 2571134872689
BaseRepresentation
bin111000110100001011…
…1101011010001011110
3102122221002120100112212
41301220113223101132
53444334042340220
6132014540200422
711546344630250
oct1615027532136
9378832510485
10122010121310
1147820595000
121b790b39112
13b67579656c
145c962b7cd0
1532916b70c5
hex1c685eb45e

122010121310 has 128 divisors (see below), whose sum is σ = 276742379520. Its totient is φ = 37936926720.

The previous prime is 122010121307. The next prime is 122010121319. The reversal of 122010121310 is 13121010221.

It is a super-2 number, since 2×1220101213102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010121319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45372446 + ... + 45375134.

It is an arithmetic number, because the mean of its divisors is an integer number (2162049840).

Almost surely, 2122010121310 is an apocalyptic number.

122010121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122010121310 is an abundant number, since it is smaller than the sum of its proper divisors (154732258210).

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

122010121310 is a wasteful number, since it uses less digits than its factorization.

122010121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122010121310 its reverse (13121010221), we get a palindrome (135131131531).

The spelling of 122010121310 in words is "one hundred twenty-two billion, ten million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 487 605 770 847 974 1210 1331 1694 2435 2662 2689 3409 4235 4870 5357 5378 6655 6818 8470 9317 10714 13310 13445 17045 18634 18823 26785 26890 29579 34090 37499 37646 46585 53570 58927 59158 74998 93170 94115 117854 147895 187495 188230 207053 294635 295790 325369 374990 412489 414106 589270 648197 650738 824978 1035265 1296394 1309543 1626845 2062445 2070530 2277583 2619086 3240985 3253690 3579059 4124890 4537379 4555166 6481970 6547715 7158118 9074758 9166801 11387915 13095430 14404973 17895295 18333602 22686895 22775830 25053413 28809946 35790590 45373790 45834005 50106826 72024865 91668010 100834811 125267065 144049730 158454703 201669622 250534130 316909406 504174055 792273515 1008348110 1109182921 1584547030 1743001733 2218365842 3486003466 5545914605 8715008665 11091829210 12201012131 17430017330 24402024262 61005060655 122010121310