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122222120102120 = 23513370932285221
BaseRepresentation
bin11011110010100100001110…
…000011010110100011101000
3121000202022122200210012000102
4123302210032003112203220
5112004441400221231440
61111540022234324532
734513154034332663
oct3362441603264350
9530668580705012
10122222120102120
1135a42123523325
121185b570889748
13532765b99371c
1422278216c66da
15e1e427a0bb15
hex6f290e0d68e8

122222120102120 has 32 divisors (see below), whose sum is σ = 275000096238120. Its totient is φ = 48888790083840.

The previous prime is 122222120102119. The next prime is 122222120102141. The reversal of 122222120102120 is 21201021222221.

It can be written as a sum of positive squares in 4 ways, for example, as 49483430526916 + 72738689575204 = 7034446^2 + 8528698^2 .

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 = 122222120102092 and 122222120102101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52341110 + ... + 54626330.

Almost surely, 2122222120102120 is an apocalyptic number.

122222120102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222120102120 is an abundant number, since it is smaller than the sum of its proper divisors (152777976136000).

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

122222120102120 is a wasteful number, since it uses less digits than its factorization.

122222120102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622325 (or 3622321 counting only the distinct ones).

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

Adding to 122222120102120 its reverse (21201021222221), we get a palindrome (143423141324341).

The spelling of 122222120102120 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1337093 2285221 2674186 4570442 5348372 6685465 9140884 10696744 11426105 13370930 18281768 22852210 26741860 45704420 53483720 91408840 3055553002553 6111106005106 12222212010212 15277765012765 24444424020424 30555530025530 61111060051060 122222120102120