Search a number
-
+
121122222120020 = 225111314202714161
BaseRepresentation
bin11011100010100011110111…
…000001100001110001010100
3120212212011121220200110112102
4123202203313001201301110
5111333431302330320040
61105334440343341232
734340535401623502
oct3342436701416124
9525764556613472
10121122222120020
1135658711811950
121170236b151818
135277a13087594
1421ca4bd9b7672
15e00a00ead515
hex6e28f7061c54

121122222120020 has 48 divisors (see below), whose sum is σ = 279598167769536. Its totient is φ = 43708227264000.

The previous prime is 121122222119963. The next prime is 121122222120041. The reversal of 121122222120020 is 20021222221121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121122222119974 and 121122222120001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101328261 + ... + 2101385900.

It is an arithmetic number, because the mean of its divisors is an integer number (5824961828532).

Almost surely, 2121122222120020 is an apocalyptic number.

121122222120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122222120020 is an abundant number, since it is smaller than the sum of its proper divisors (158475945649516).

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

121122222120020 is a wasteful number, since it uses less digits than its factorization.

121122222120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202714312 (or 4202714310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121122222120020 its reverse (20021222221121), we get a palindrome (141143444341141).

The spelling of 121122222120020 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 14410 28820 4202714161 8405428322 16810856644 21013570805 42027141610 46229855771 84054283220 92459711542 184919423084 231149278855 462298557710 550555555091 924597115420 1101111110182 2202222220364 2752777775455 5505555550910 6056111106001 11011111101820 12112222212002 24224444424004 30280555530005 60561111060010 121122222120020