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120121002 = 2331947253
BaseRepresentation
bin1110010100011…
…10011010101010
322101000210001000
413022032122222
5221222333002
615530335430
72656004001
oct712163252
9271023030
10120121002
1161894761
123428a576
131bb6a021
1411d4bc38
15a82b61c
hex728e6aa

120121002 has 96 divisors (see below), whose sum is σ = 292507200. Its totient is φ = 36425376.

The previous prime is 120120967. The next prime is 120121009. The reversal of 120121002 is 200121021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120121009) 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, 2266408 + ... + 2266460.

It is an arithmetic number, because the mean of its divisors is an integer number (3046950).

Almost surely, 2120121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146253600).

120121002 is an abundant number, since it is smaller than the sum of its proper divisors (172386198).

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

120121002 is a wasteful number, since it uses less digits than its factorization.

120121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120121002 is about 10959.9727189441. The cubic root of 120121002 is about 493.4081461699.

Adding to 120121002 its reverse (200121021), we get a palindrome (320242023).

The spelling of 120121002 in words is "one hundred twenty million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 47 53 54 57 94 106 114 141 159 171 282 318 342 423 477 513 846 893 954 1007 1026 1269 1431 1786 2014 2209 2491 2538 2679 2862 3021 4418 4982 5358 6042 6627 7473 8037 9063 13254 14946 16074 18126 19881 22419 24111 27189 39762 41971 44838 47329 48222 54378 59643 67257 83942 94658 117077 119286 125913 134514 141987 234154 251826 283974 351231 377739 425961 702462 755478 851922 1053693 1133217 1277883 2107386 2224463 2266434 2555766 3161079 4448926 6322158 6673389 13346778 20020167 40040334 60060501 120121002