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22121122111020 = 22325122895122839
BaseRepresentation
bin1010000011110011110011…
…01000000001111000101100
32220022202111000221010001200
411001321321220001320230
510344413024230023040
6115014145254205500
74442125012336032
oct501717150017054
986282430833050
1022121122111020
11705957380a619
12259327b053890
13c4602235538a
1456694d0aa552
1528564b5bb630
hex141e79a01e2c

22121122111020 has 36 divisors (see below), whose sum is σ = 67100737070640. Its totient is φ = 5898965896224.

The previous prime is 22121122110977. The next prime is 22121122111021. The reversal of 22121122111020 is 2011122112122.

22121122111020 is a `hidden beast` number, since 221 + 211 + 2 + 211 + 1 + 0 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22121122110984 and 22121122111002.

It is not an unprimeable number, because it can be changed into a prime (22121122111021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61447561240 + ... + 61447561599.

Almost surely, 222121122111020 is an apocalyptic number.

22121122111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121122111020 is an abundant number, since it is smaller than the sum of its proper divisors (44979614959620).

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

22121122111020 is a wasteful number, since it uses less digits than its factorization.

22121122111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122895122854 (or 122895122849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22121122111020 its reverse (2011122112122), we get a palindrome (24132244223142).

The spelling of 22121122111020 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122895122839 245790245678 368685368517 491580491356 614475614195 737370737034 1106056105551 1228951228390 1474741474068 1843426842585 2212112211102 2457902456780 3686853685170 4424224422204 5530280527755 7373707370340 11060561055510 22121122111020