Search a number
-
+
122202322320120 = 23357145478955143
BaseRepresentation
bin11011110010010001110010…
…000000110011101011111000
3121000200102112221202122201020
4123302101302000303223320
5112004130324003220440
61111522545531222440
734511553316061640
oct3362216200635370
9530612487678636
10122202322320120
1135a34794161719
12118577665a7a20
13532582516b813
1422268a41dd520
15e1db698d73d0
hex6f2472033af8

122202322320120 has 64 divisors (see below), whose sum is σ = 418979390814720. Its totient is φ = 27931959387264.

The previous prime is 122202322320097. The next prime is 122202322320131. The reversal of 122202322320120 is 21023223202221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72739476732 + ... + 72739478411.

It is an arithmetic number, because the mean of its divisors is an integer number (6546552981480).

Almost surely, 2122202322320120 is an apocalyptic number.

122202322320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202322320120 is an abundant number, since it is smaller than the sum of its proper divisors (296777068494600).

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

122202322320120 is a wasteful number, since it uses less digits than its factorization.

122202322320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145478955164 (or 145478955160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122202322320120 its reverse (21023223202221), we get a palindrome (143225545522341).

The spelling of 122202322320120 in words is "one hundred twenty-two trillion, two hundred two billion, three hundred twenty-two million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 145478955143 290957910286 436436865429 581915820572 727394775715 872873730858 1018352686001 1163831641144 1454789551430 1745747461716 2036705372002 2182184327145 2909579102860 3055058058003 3491494923432 4073410744004 4364368654290 5091763430005 5819158205720 6110116116006 8146821488008 8728737308580 10183526860010 12220232232012 15275290290015 17457474617160 20367053720020 24440464464024 30550580580030 40734107440040 61101161160060 122202322320120