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122012010020 = 22517358858853
BaseRepresentation
bin111000110100001111…
…0111000011000100100
3102122221020010022101002
41301220132320120210
53444340033310040
6132015044452432
711546366654555
oct1615036703044
9378836108332
10122012010020
114782166501a
121b7916aa118
13b675ca8144
145c9664a32c
15329193ba15
hex1c687b8624

122012010020 has 24 divisors (see below), whose sum is σ = 271297293624. Its totient is φ = 45933933056.

The previous prime is 122012010019. The next prime is 122012010047. The reversal of 122012010020 is 20010210221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24588121636 + 97423888384 = 156806^2 + 312128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122012009983 and 122012010010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179429087 + ... + 179429766.

It is an arithmetic number, because the mean of its divisors is an integer number (11304053901).

Almost surely, 2122012010020 is an apocalyptic number.

122012010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012010020 is an abundant number, since it is smaller than the sum of its proper divisors (149285283604).

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

122012010020 is a wasteful number, since it uses less digits than its factorization.

122012010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358858879 (or 358858877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122012010020 its reverse (20010210221), we get a palindrome (142022220241).

The spelling of 122012010020 in words is "one hundred twenty-two billion, twelve million, ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 358858853 717717706 1435435412 1794294265 3588588530 6100600501 7177177060 12201201002 24402402004 30503002505 61006005010 122012010020