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122102210020 = 22572356696689
BaseRepresentation
bin111000110110111011…
…0111101110111100100
3102200011111211221111211
41301231312331313210
54000031131210040
6132032030041204
711551543442410
oct1615566756744
9380144757454
10122102210020
114786857267a
121b7b7949204
13b68b89a11b
145ca4609d40
1532998078ea
hex1c6ddbdde4

122102210020 has 96 divisors (see below), whose sum is σ = 305886067200. Its totient is φ = 40030408704.

The previous prime is 122102210011. The next prime is 122102210023. The reversal of 122102210020 is 20012201221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122102210023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18250836 + ... + 18257524.

It is an arithmetic number, because the mean of its divisors is an integer number (3186313200).

Almost surely, 2122102210020 is an apocalyptic number.

122102210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152943033600).

122102210020 is an abundant number, since it is smaller than the sum of its proper divisors (183783857180).

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

122102210020 is a wasteful number, since it uses less digits than its factorization.

122102210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12397 (or 12395 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122102210020 its reverse (20012201221), we get a palindrome (142114411241).

The spelling of 122102210020 in words is "one hundred twenty-two billion, one hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 5669 6689 11338 13378 22676 26756 28345 33445 39683 46823 56690 66890 79366 93646 113380 130387 133780 153847 158732 187292 198415 234115 260774 307694 396830 468230 521548 615388 651935 769235 793660 912709 936460 1076929 1303870 1538470 1825418 2153858 2607740 3076940 3650836 4307716 4563545 5384645 9127090 10769290 18254180 21538580 37919941 75839882 151679764 189599705 265439587 379199410 530879174 758398820 872158643 1061758348 1327197935 1744317286 2654395870 3488634572 4360793215 5308791740 6105110501 8721586430 12210221002 17443172860 24420442004 30525552505 61051105010 122102210020