Search a number
-
+
121122222100020 = 223251039647643151
BaseRepresentation
bin11011100010100011110111…
…000001011100111000110100
3120212212011121220122110002200
4123202203313001130320310
5111333431302324200040
61105334440343104500
734340535401511261
oct3342436701347064
9525764556573080
10121122222100020
11356587117a8919
121170236b142130
135277a1307b44b
1421ca4bd9b0268
15e00a00ea7630
hex6e28f705ce34

121122222100020 has 72 divisors (see below), whose sum is σ = 367757687431680. Its totient is φ = 32268172305600.

The previous prime is 121122222100007. The next prime is 121122222100031. The reversal of 121122222100020 is 20001222221121.

It is a happy number.

121122222100020 is a `hidden beast` number, since 1 + 211 + 2 + 222 + 210 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121122222099966 and 121122222100002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323634556 + ... + 324008595.

Almost surely, 2121122222100020 is an apocalyptic number.

121122222100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122222100020 is an abundant number, since it is smaller than the sum of its proper divisors (246635465331660).

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

121122222100020 is a wasteful number, since it uses less digits than its factorization.

121122222100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647644205 (or 647644200 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121122222100020 its reverse (20001222221121), we get a palindrome (141123444321141).

The spelling of 121122222100020 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1039 2078 3117 4156 5195 6234 9351 10390 12468 15585 18702 20780 31170 37404 46755 62340 93510 187020 647643151 1295286302 1942929453 2590572604 3238215755 3885858906 5828788359 6476431510 7771717812 9714647265 11657576718 12952863020 19429294530 23315153436 29143941795 38858589060 58287883590 116575767180 672901233889 1345802467778 2018703701667 2691604935556 3364506169445 4037407403334 6056111105001 6729012338890 8074814806668 10093518508335 12112222210002 13458024677780 20187037016670 24224444420004 30280555525005 40374074033340 60561111050010 121122222100020