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122021101020 = 223571322348187
BaseRepresentation
bin111000110100100000…
…1100011110111011100
3102122221212020011212210
41301221001203313130
53444344400213040
6132020011400420
711546540150130
oct1615101436734
9378855204783
10122021101020
1147826804245
121b794753110
13b677b3c030
145c979353c0
153292635480
hex1c69063ddc

122021101020 has 96 divisors (see below), whose sum is σ = 420503505408. Its totient is φ = 25745110272.

The previous prime is 122021100997. The next prime is 122021101039. The reversal of 122021101020 is 20101120221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122021100987 and 122021101005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11168634 + ... + 11179553.

It is an arithmetic number, because the mean of its divisors is an integer number (4380244848).

Almost surely, 2122021101020 is an apocalyptic number.

122021101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021101020 is an abundant number, since it is smaller than the sum of its proper divisors (298482404388).

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

122021101020 is a wasteful number, since it uses less digits than its factorization.

122021101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22348219 (or 22348217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122021101020 its reverse (20101120221), we get a palindrome (142122221241).

The spelling of 122021101020 in words is "one hundred twenty-two billion, twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 22348187 44696374 67044561 89392748 111740935 134089122 156437309 223481870 268178244 290526431 312874618 335222805 446963740 469311927 581052862 625749236 670445610 782186545 871579293 938623854 1162105724 1340891220 1452632155 1564373090 1743158586 1877247708 2033685017 2346559635 2905264310 3128746180 3486317172 4067370034 4357896465 4693119270 5810528620 6101055051 8134740068 8715792930 9386238540 10168425085 12202110102 17431585860 20336850170 24404220204 30505275255 40673700340 61010550510 122021101020