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122120001010 = 25741271157013
BaseRepresentation
bin111000110111011101…
…0110101010111110010
3102200012202022211011101
41301232322311113302
54000100210013020
6132033503235014
711552150611240
oct1615672652762
9380182284141
10122120001010
1147877614277
121b8018a8a6a
13b692488c37
145ca6b1b790
15329b16e00a
hex1c6eeb55f2

122120001010 has 64 divisors (see below), whose sum is σ = 258296822784. Its totient is φ = 40697510400.

The previous prime is 122120000921. The next prime is 122120001013. The reversal of 122120001010 is 10100021221.

122120001010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122120001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699264 + ... + 856276.

It is an arithmetic number, because the mean of its divisors is an integer number (4035887856).

Almost surely, 2122120001010 is an apocalyptic number.

122120001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122120001010 is an abundant number, since it is smaller than the sum of its proper divisors (136176821774).

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

122120001010 is a wasteful number, since it uses less digits than its factorization.

122120001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157339.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122120001010 its reverse (10100021221), we get a palindrome (132220022231).

The spelling of 122120001010 in words is "one hundred twenty-two billion, one hundred twenty million, one thousand, ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 271 287 410 542 574 1355 1435 1897 2710 2870 3794 9485 11111 18970 22222 55555 77777 111110 155554 157013 314026 388885 777770 785065 1099091 1570130 2198182 5495455 6437533 10990910 12875066 32187665 42550523 45062731 64375330 85101046 90125462 212752615 225313655 297853661 425505230 450627310 595707322 1489268305 1744571443 2978536610 3489142886 8722857215 12212000101 17445714430 24424000202 61060000505 122120001010