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122022002012020 = 225112119131423251
BaseRepresentation
bin11011101111101001110110…
…000101011010111101110100
3121000001012010010021220100121
4123233221312011122331310
5111443202030003341040
61111304044525221324
734462540650540655
oct3357516605327564
9530035103256317
10122022002012020
1135975271035300
1211828821701844
135311819068a66
14221bc79a6552c
15e1911400cc4a
hex6efa7615af74

122022002012020 has 72 divisors (see below), whose sum is σ = 281662080676704. Its totient is φ = 44371159800000.

The previous prime is 122022002011991. The next prime is 122022002012033. The reversal of 122022002012020 is 20210200220221.

It is a junction number, because it is equal to n+sod(n) for n = 122022002011985 and 122022002012003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288085395 + ... + 288508645.

It is an arithmetic number, because the mean of its divisors is an integer number (3911973342732).

Almost surely, 2122022002012020 is an apocalyptic number.

122022002012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022002012020 is an abundant number, since it is smaller than the sum of its proper divisors (159640078664684).

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

122022002012020 is a wasteful number, since it uses less digits than its factorization.

122022002012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542413 (or 542400 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122022002012020 its reverse (20210200220221), we get a palindrome (142232202232241).

The spelling of 122022002012020 in words is "one hundred twenty-two trillion, twenty-two billion, two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 119131 238262 423251 476524 595655 846502 1191310 1310441 1693004 2116255 2382620 2620882 4232510 4655761 5241764 6552205 8465020 9311522 13104410 14414851 18623044 23278805 26208820 28829702 46557610 51213371 57659404 72074255 93115220 102426742 144148510 204853484 256066855 288297020 512133710 1024267420 50422314881 100844629762 201689259524 252111574405 504223148810 554645463691 1008446297620 1109290927382 2218581854764 2773227318455 5546454636910 6101100100601 11092909273820 12202200201202 24404400402404 30505500503005 61011001006010 122022002012020