Search a number
-
+
122012002020987 = 32135324181643907
BaseRepresentation
bin11011101111100000100010…
…000010011110111001111011
3121000000020022012112201112100
4123233200202002132321323
5111443021040004132422
61111255312342514443
734462035103164111
oct3357404202367173
9530006265481470
10122012002020987
1135970aaa327001
12118268b0735a23
1353108b43826c0
14221b5ab905ab1
15e18c2b1527ac
hex6ef82209ee7b

122012002020987 has 48 divisors (see below), whose sum is σ = 194179911333408. Its totient is φ = 73361948175360.

The previous prime is 122012002020941. The next prime is 122012002021027. The reversal of 122012002020987 is 789020200210221.

122012002020987 is a `hidden beast` number, since 1 + 220 + 1 + 200 + 20 + 209 + 8 + 7 = 666.

It is not a de Polignac number, because 122012002020987 - 28 = 122012002020731 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122012002060987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39327513 + ... + 42316394.

It is an arithmetic number, because the mean of its divisors is an integer number (4045414819446).

Almost surely, 2122012002020987 is an apocalyptic number.

122012002020987 is a deficient number, since it is larger than the sum of its proper divisors (72167909312421).

122012002020987 is a wasteful number, since it uses less digits than its factorization.

122012002020987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81644220 (or 81644217 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 122012002020987 in words is "one hundred twenty-two trillion, twelve billion, two million, twenty thousand, nine hundred eighty-seven".

Divisors: 1 3 9 13 39 53 117 159 241 477 689 723 2067 2169 3133 6201 9399 12773 28197 38319 114957 166049 498147 1494441 81643907 244931721 734795163 1061370791 3184112373 4327127071 9552337119 12981381213 19676181587 38944143639 56252651923 59028544761 168757955769 177085634283 255790360631 506273867307 767371081893 1042837624111 2302113245679 3128512872333 9385538616999 13556889113443 40670667340329 122012002020987