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122121012 = 223135411447
BaseRepresentation
bin1110100011101…
…10101100110100
322111210101112110
413101312230310
5222230333022
620041251020
73012003636
oct721665464
9274711473
10122121012
1162a30362
1234a93a70
131c3ba470
141230ca56
15aac400c
hex7476b34

122121012 has 48 divisors (see below), whose sum is σ = 307647872. Its totient is φ = 37480320.

The previous prime is 122120987. The next prime is 122121017. The reversal of 122121012 is 210121221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83673 + ... + 85119.

Almost surely, 2122121012 is an apocalyptic number.

122121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122121012 is an abundant number, since it is smaller than the sum of its proper divisors (185526860).

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

122121012 is a wasteful number, since it uses less digits than its factorization.

122121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 122121012 is about 11050.8376153122. The cubic root of 122121012 is about 496.1314958762.

Adding to 122121012 its reverse (210121221), we get a palindrome (332242233).

It can be divided in two parts, 1221 and 21012, that multiplied together give a palindrome (25655652).

The spelling of 122121012 in words is "one hundred twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 541 1082 1447 1623 2164 2894 3246 4341 5788 6492 7033 8682 14066 17364 18811 21099 28132 37622 42198 56433 75244 84396 112866 225732 782827 1565654 2348481 3131308 4696962 9393924 10176751 20353502 30530253 40707004 61060506 122121012