Search a number
-
+
122220011222111 = 115310117311997929
BaseRepresentation
bin11011110010100010010000…
…010110100111010001011111
3121000202010012201112222111102
4123302202100112213101133
5112004423040333101421
61111535033101543315
734513050546212525
oct3362422026472137
9530663181488442
10122220011222111
1135a4124107a590
121185b082574b3b
1353273b3ab6a2a
1422276a15a8315
15e1e3527dd60b
hex6f28905a745f

122220011222111 has 32 divisors (see below), whose sum is σ = 137984641542720. Its totient is φ = 107309468032000.

The previous prime is 122220011222069. The next prime is 122220011222119. The reversal of 122220011222111 is 111222110022221.

It is a de Polignac number, because none of the positive numbers 2k-122220011222111 is a prime.

It is a super-2 number, since 2×1222200112221112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220011222119) 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, 4187795 + ... + 16185723.

It is an arithmetic number, because the mean of its divisors is an integer number (4312020048210).

Almost surely, 2122220011222111 is an apocalyptic number.

122220011222111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122220011222111 is a deficient number, since it is larger than the sum of its proper divisors (15764630320609).

122220011222111 is a wasteful number, since it uses less digits than its factorization.

122220011222111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11998267.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122220011222111 its reverse (111222110022221), we get a palindrome (233442121244332).

The spelling of 122220011222111 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, two hundred twenty-two thousand, one hundred eleven".

Divisors: 1 11 53 101 173 583 1111 1903 5353 9169 17473 58883 100859 192203 926069 10186759 11997929 131977219 635890237 1211790829 2075641717 6994792607 13329699119 22832058887 64224913937 110009011001 209639813417 706474053307 1210099121011 2306037947587 11110910111101 122220011222111