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21122337120 = 2535229192161
BaseRepresentation
bin10011101010111111…
…010100100101100000
32000112001101220100020
4103222333110211200
5321224304241440
613411540553440
71345300621533
oct235277244540
960461356306
1021122337120
118a5a010565
1241159b2880
131cb8079741
14104539aa1a
158395653d0
hex4eafd4960

21122337120 has 96 divisors (see below), whose sum is σ = 66826257120. Its totient is φ = 5607997440.

The previous prime is 21122337113. The next prime is 21122337127. The reversal of 21122337120 is 2173322112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21122337113) and next prime (21122337127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122337127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13840 + ... + 206000.

It is an arithmetic number, because the mean of its divisors is an integer number (696106845).

Almost surely, 221122337120 is an apocalyptic number.

21122337120 is a gapful number since it is divisible by the number (20) 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 21122337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33413128560).

21122337120 is an abundant number, since it is smaller than the sum of its proper divisors (45703920000).

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

21122337120 is a wasteful number, since it uses less digits than its factorization.

21122337120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192408 (or 192400 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 21122337120 its reverse (2173322112), we get a palindrome (23295659232).

The spelling of 21122337120 in words is "twenty-one billion, one hundred twenty-two million, three hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 229 240 458 480 687 916 1145 1374 1832 2290 2748 3435 3664 4580 5496 6870 7328 9160 10992 13740 18320 21984 27480 36640 54960 109920 192161 384322 576483 768644 960805 1152966 1537288 1921610 2305932 2882415 3074576 3843220 4611864 5764830 6149152 7686440 9223728 11529660 15372880 18447456 23059320 30745760 44004869 46118640 88009738 92237280 132014607 176019476 220024345 264029214 352038952 440048690 528058428 660073035 704077904 880097380 1056116856 1320146070 1408155808 1760194760 2112233712 2640292140 3520389520 4224467424 5280584280 7040779040 10561168560 21122337120