Search a number
-
+
122220310031220 = 223519139771300707
BaseRepresentation
bin11011110010100010100010…
…001010011110101101110100
3121000202010222112211001112110
4123302202202022132231310
5112004424143331444340
61111535122454251020
734513061135102232
oct3362424212365564
9530663875731473
10122220310031220
1135a41384810265
121185b146656a70
13532743098875b
1422276cd14b952
15e1e36db64680
hex6f28a229eb74

122220310031220 has 96 divisors (see below), whose sum is σ = 362819853043200. Its totient is φ = 30654575259264.

The previous prime is 122220310031219. The next prime is 122220310031221. The reversal of 122220310031220 is 22130013022221.

It is an interprime number because it is at equal distance from previous prime (122220310031219) and next prime (122220310031221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220310031221) 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, 385491894 + ... + 385808813.

It is an arithmetic number, because the mean of its divisors is an integer number (3779373469200).

Almost surely, 2122220310031220 is an apocalyptic number.

122220310031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220310031220 is an abundant number, since it is smaller than the sum of its proper divisors (240599543011980).

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

122220310031220 is a wasteful number, since it uses less digits than its factorization.

122220310031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771300877 (or 771300875 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122220310031220 its reverse (22130013022221), we get a palindrome (144350323053441).

The spelling of 122220310031220 in words is "one hundred twenty-two trillion, two hundred twenty billion, three hundred ten million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 139 190 228 278 285 380 417 556 570 695 834 1140 1390 1668 2085 2641 2780 4170 5282 7923 8340 10564 13205 15846 26410 31692 39615 52820 79230 158460 771300707 1542601414 2313902121 3085202828 3856503535 4627804242 7713007070 9255608484 11569510605 14654713433 15426014140 23139021210 29309426866 43964140299 46278042420 58618853732 73273567165 87928280598 107210798273 146547134330 175856561196 214421596546 219820701495 293094268660 321632394819 428843193092 439641402990 536053991365 643264789638 879282805980 1072107982730 1286529579276 1608161974095 2037005167187 2144215965460 3216323948190 4074010334374 6111015501561 6432647896380 8148020668748 10185025835935 12222031003122 20370051671870 24444062006244 30555077507805 40740103343740 61110155015610 122220310031220