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10222012012212 = 223271113714638629
BaseRepresentation
bin1001010010111111111101…
…1001010001011010110100
31100012012210121000000110100
42110233333121101122310
52314434140033342322
633423532200554100
72103341662330110
oct224577731213264
940165717000410
1010222012012212
113291149325850
121191117182930
13591c159440a0
14274a687da740
1512ad70ab9dac
hex94bff6516b4

10222012012212 has 576 divisors, whose sum is σ = 35261593436160. Its totient is φ = 2410815052800.

The previous prime is 10222012012211. The next prime is 10222012012297. The reversal of 10222012012212 is 21221021022201.

It is a happy number.

10222012012212 is a `hidden beast` number, since 102 + 220 + 120 + 1 + 221 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222012012211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1184607114 + ... + 1184615742.

It is an arithmetic number, because the mean of its divisors is an integer number (61218044160).

Almost surely, 210222012012212 is an apocalyptic number.

10222012012212 is a gapful number since it is divisible by the number (12) 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 10222012012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630796718080).

10222012012212 is an abundant number, since it is smaller than the sum of its proper divisors (25039581423948).

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

10222012012212 is a wasteful number, since it uses less digits than its factorization.

10222012012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9199 counting only the distinct ones).

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

Adding to 10222012012212 its reverse (21221021022201), we get a palindrome (31443033034413).

The spelling of 10222012012212 in words is "ten trillion, two hundred twenty-two billion, twelve million, twelve thousand, two hundred twelve".