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22121102012202 = 23519101191124183
BaseRepresentation
bin1010000011110011110000…
…11011010110111100101010
32220022202102122002222200000
411001321320123112330222
510344413004103342302
6115014143255323430
74442124346445634
oct501717033267452
986282378088600
1022121102012202
117059563432026
122593274380576
13c4601b138c9b
1456694a557a54
1528564994b31c
hex141e786d6f2a

22121102012202 has 192 divisors, whose sum is σ = 53115304919040. Its totient is φ = 6880179528000.

The previous prime is 22121102012033. The next prime is 22121102012231. The reversal of 22121102012202 is 20221020112122.

It is a happy number.

22121102012202 is a `hidden beast` number, since 221 + 21 + 1 + 0 + 201 + 220 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178071003 + ... + 178195185.

It is an arithmetic number, because the mean of its divisors is an integer number (276642213120).

Almost surely, 222121102012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121102012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26557652459520).

22121102012202 is an abundant number, since it is smaller than the sum of its proper divisors (30994202906838).

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

22121102012202 is a wasteful number, since it uses less digits than its factorization.

22121102012202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124511 (or 124499 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22121102012202 its reverse (20221020112122), we get a palindrome (42342122124324).

The spelling of 22121102012202 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, twelve thousand, two hundred two".