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122012210010020 = 225114119017115651
BaseRepresentation
bin11011101111100000101110…
…011011111001011110100100
3121000000020211200220122211212
4123233200232123321132210
5111443022001230310040
61111255345132450552
734462043210104121
oct3357405633713644
9530006750818755
10122012210010020
11359710a6776270
121182694a319a58
1353109184a6135
14221b5cb3a7748
15e18c3e538d65
hex6ef82e6f97a4

122012210010020 has 96 divisors (see below), whose sum is σ = 286487079161472. Its totient is φ = 43263152000000.

The previous prime is 122012210010013. The next prime is 122012210010043. The reversal of 122012210010020 is 20010012210221.

It is a junction number, because it is equal to n+sod(n) for n = 122012210009977 and 122012210010004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13589195 + ... + 20704845.

It is an arithmetic number, because the mean of its divisors is an integer number (2984240407932).

Almost surely, 2122012210010020 is an apocalyptic number.

122012210010020 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 122012210010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143243539580736).

122012210010020 is an abundant number, since it is smaller than the sum of its proper divisors (164474869151452).

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

122012210010020 is a wasteful number, since it uses less digits than its factorization.

122012210010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117613 (or 7117611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122012210010020 its reverse (20010012210221), we get a palindrome (142022222220241).

The spelling of 122012210010020 in words is "one hundred twenty-two trillion, twelve billion, two hundred ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 1901 2255 3802 4510 7604 9020 9505 19010 20911 38020 41822 77941 83644 104555 155882 209110 311764 389705 418220 779410 857351 1558820 1714702 3429404 4286755 7115651 8573510 14231302 17147020 28462604 35578255 71156510 78272161 142313020 156544322 291741691 313088644 391360805 583483382 782721610 1166966764 1458708455 1565443220 2917416910 3209158601 5834833820 6418317202 12836634404 13526852551 16045793005 27053705102 32091586010 54107410204 64183172020 67634262755 135268525510 148795378061 270537051020 297590756122 554600954591 595181512244 743976890305 1109201909182 1487953780610 2218403818364 2773004772955 2975907561220 5546009545910 6100610500501 11092019091820 12201221001002 24402442002004 30503052502505 61006105005010 122012210010020