Search a number
-
+
122021121021000 = 2335340673707007
BaseRepresentation
bin11011101111101001000001…
…100100101101010001001000
3121000001002211201112220212120
4123233221001210231101020
5111443143223440133000
61111303421254411240
734462510062333015
oct3357510144552110
9530032751486776
10122021121021000
1135974959806753
1211828616660b20
1353117086996b6
14221bbd4a5670c
15e190b19d86a0
hex6efa4192d448

122021121021000 has 64 divisors (see below), whose sum is σ = 380705897594880. Its totient is φ = 32538965604800.

The previous prime is 122021121020971. The next prime is 122021121021013. The reversal of 122021121021000 is 120121120221.

122021121021000 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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20336850504 + ... + 20336856503.

It is an arithmetic number, because the mean of its divisors is an integer number (5948529649920).

Almost surely, 2122021121021000 is an apocalyptic number.

122021121021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021121021000 is an abundant number, since it is smaller than the sum of its proper divisors (258684776573880).

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

122021121021000 is a wasteful number, since it uses less digits than its factorization.

122021121021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40673707031 (or 40673707017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122021121021000 its reverse (120121120221), we get a palindrome (122141242141221).

The spelling of 122021121021000 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twenty-one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 40673707007 81347414014 122021121021 162694828028 203368535035 244042242042 325389656056 406737070070 488084484084 610105605105 813474140140 976168968168 1016842675175 1220211210210 1626948280280 2033685350350 2440422420420 3050528025525 4067370700700 4880844840840 5084213375875 6101056051050 8134741401400 10168426751750 12202112102100 15252640127625 20336853503500 24404224204200 30505280255250 40673707007000 61010560510500 122021121021000