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122021202012 = 22383122511247
BaseRepresentation
bin111000110100100000…
…1111100100001011100
3102122221212102022102020
41301221001330201130
53444344411431022
6132020013500140
711546541050433
oct1615101744134
9378855368366
10122021202012
1147826873106
121b7947a1650
13b677b75ca8
145c9796011a
15329265535c
hex1c6907c85c

122021202012 has 24 divisors (see below), whose sum is σ = 288146455296. Its totient is φ = 40183688688.

The previous prime is 122021202011. The next prime is 122021202031. The reversal of 122021202012 is 210202120221.

It is a junction number, because it is equal to n+sod(n) for n = 122021201982 and 122021202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021202011) by changing a digit.

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, 61254628 + ... + 61256619.

It is an arithmetic number, because the mean of its divisors is an integer number (12006102304).

Almost surely, 2122021202012 is an apocalyptic number.

122021202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122021202012 is an abundant number, since it is smaller than the sum of its proper divisors (166125253284).

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

122021202012 is a wasteful number, since it uses less digits than its factorization.

122021202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122511337 (or 122511335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122021202012 its reverse (210202120221), we get a palindrome (332223322233).

The spelling of 122021202012 in words is "one hundred twenty-two billion, twenty-one million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 122511247 245022494 367533741 490044988 735067482 1470134964 10168433501 20336867002 30505300503 40673734004 61010601006 122021202012