Search a number
-
+
20122112120022 = 23211419242546131
BaseRepresentation
bin1001001001101000010110…
…10110000101010011010110
32122020122200120221221010200
410210310023112011103112
510114140041200320042
6110443545400401330
74144526460640413
oct444641326052326
978218616857120
1020122112120022
1164588157891a0
12230b972776246
13b2c678c40763
144d7cb5cc710a
1524d650499c4c
hex124d0b5854d6

20122112120022 has 48 divisors (see below), whose sum is σ = 47674867705920. Its totient is φ = 6083056940400.

The previous prime is 20122112119979. The next prime is 20122112120053. The reversal of 20122112120022 is 22002121122102.

It is a happy number.

20122112120022 is a `hidden beast` number, since 201 + 221 + 1 + 21 + 200 + 22 = 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 = 20122112119977 and 20122112120004.

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, 121190104 + ... + 121356027.

It is an arithmetic number, because the mean of its divisors is an integer number (993226410540).

Almost surely, 220122112120022 is an apocalyptic number.

20122112120022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20122112120022 is an abundant number, since it is smaller than the sum of its proper divisors (27552755585898).

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

20122112120022 is a wasteful number, since it uses less digits than its factorization.

20122112120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242546569 (or 242546566 counting only the distinct ones).

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

Adding to 20122112120022 its reverse (22002121122102), we get a palindrome (42124233242124).

The spelling of 20122112120022 in words is "twenty trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 419 838 1257 2514 3771 4609 7542 9218 13827 27654 41481 82962 242546131 485092262 727638393 1455276786 2182915179 2668007441 4365830358 5336014882 8004022323 16008044646 24012066969 48024133938 101626828889 203253657778 304880486667 609760973334 914641460001 1117895117779 1829282920002 2235790235558 3353685353337 6707370706674 10061056060011 20122112120022