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122121020 = 22574391987
BaseRepresentation
bin1110100011101…
…10101100111100
322111210101112202
413101312230330
5222230333040
620041251032
73012003650
oct721665474
9274711482
10122121020
1162a3036a
1234a93a78
131c3ba478
141230ca60
15aac4015
hex7476b3c

122121020 has 48 divisors (see below), whose sum is σ = 293905920. Its totient is φ = 41753664.

The previous prime is 122121017. The next prime is 122121061. The reversal of 122121020 is 20121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122120992 and 122121010.

It is a congruent number.

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, 60467 + ... + 62453.

It is an arithmetic number, because the mean of its divisors is an integer number (6123040).

Almost surely, 2122121020 is an apocalyptic number.

122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121020 is an abundant number, since it is smaller than the sum of its proper divisors (171784900).

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

122121020 is a wasteful number, since it uses less digits than its factorization.

122121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 122121020 is about 11050.8379772758. The cubic root of 122121020 is about 496.1315067099.

Adding to 122121020 its reverse (20121221), we get a palindrome (142242241).

The spelling of 122121020 in words is "one hundred twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 439 878 1756 1987 2195 3073 3974 4390 6146 7948 8780 9935 12292 13909 15365 19870 27818 30730 39740 55636 61460 69545 139090 278180 872293 1744586 3489172 4361465 6106051 8722930 12212102 17445860 24424204 30530255 61060510 122121020