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220120121020020 = 223513907311141437
BaseRepresentation
bin110010000011001010110101…
…100111110000111001110100
31001212101021111200222121222120
4302003022311213300321310
5212322422001440120040
62100053442041555540
764236103541222034
oct6203126547607164
91055337450877876
10220120121020020
1164156467883651
12208309071a5bb0
1395a9313850250
143c4dc292cb8c4
151a6ac698337d0
hexc832b59f0e74

220120121020020 has 96 divisors (see below), whose sum is σ = 664478633255808. Its totient is φ = 54123675075072.

The previous prime is 220120121020003. The next prime is 220120121020057. The reversal of 220120121020020 is 20020121021022.

220120121020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 154863259 + ... + 156278178.

It is an arithmetic number, because the mean of its divisors is an integer number (6921652429748).

Almost surely, 2220120121020020 is an apocalyptic number.

220120121020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120121020020 is an abundant number, since it is smaller than the sum of its proper divisors (444358512235788).

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

220120121020020 is a wasteful number, since it uses less digits than its factorization.

220120121020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311142369 (or 311142367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220120121020020 its reverse (20020121021022), we get a palindrome (240140242041042).

The spelling of 220120121020020 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 907 1814 2721 3628 4535 5442 9070 10884 11791 13605 18140 23582 27210 35373 47164 54420 58955 70746 117910 141492 176865 235820 353730 707460 311141437 622282874 933424311 1244565748 1555707185 1866848622 3111414370 3733697244 4044838681 4667121555 6222828740 8089677362 9334243110 12134516043 16179354724 18668486220 20224193405 24269032086 40448386810 48538064172 60672580215 80896773620 121345160430 242690320860 282205283359 564410566718 846615850077 1128821133436 1411026416795 1693231700154 2822052833590 3386463400308 3668668683667 4233079250385 5644105667180 7337337367334 8466158500770 11006006051001 14674674734668 16932317001540 18343343418335 22012012102002 36686686836670 44024024204004 55030030255005 73373373673340 110060060510010 220120121020020