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22121010012020 = 22517371758426869
BaseRepresentation
bin1010000011110011100101…
…11100011001111101110100
32220022202012012222220010212
411001321302330121331310
510344412312030341040
6115014130211404552
74442122151452553
oct501716274317564
986282165886125
1022121010012020
117059516504a17
1225932495b3758
13c460050667ca
1456693c249d9a
15285641826d65
hex141e72f19f74

22121010012020 has 48 divisors (see below), whose sum is σ = 50516087121360. Its totient is φ = 8102831007744.

The previous prime is 22121010011993. The next prime is 22121010012103. The reversal of 22121010012020 is 2021001012122.

It can be written as a sum of positive squares in 8 ways, for example, as 928116438544 + 21192893573476 = 963388^2 + 4603574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22121010011986 and 22121010012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879200855 + ... + 879226014.

It is an arithmetic number, because the mean of its divisors is an integer number (1052418481695).

Almost surely, 222121010012020 is an apocalyptic number.

22121010012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121010012020 is an abundant number, since it is smaller than the sum of its proper divisors (28395077109340).

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

22121010012020 is a wasteful number, since it uses less digits than its factorization.

22121010012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758426932 (or 1758426930 counting only the distinct ones).

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

Adding to 22121010012020 its reverse (2021001012122), we get a palindrome (24142011024142).

The spelling of 22121010012020 in words is "twenty-two trillion, one hundred twenty-one billion, ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 1758426869 3516853738 7033707476 8792134345 17584268690 29893256773 35168537380 59786513546 65061794153 119573027092 130123588306 149466283865 260247176612 298932567730 325308970765 597865135460 650617941530 1106050500601 1301235883060 2212101001202 4424202002404 5530252503005 11060505006010 22121010012020