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1222122221010 = 2325101409328721
BaseRepresentation
bin10001110010001100001…
…010010010110111010010
311022211111210120101011100
4101302030022102313102
5130010401242033020
62333234000325230
7154203220323135
oct21621412226722
94284453511140
101222122221010
11431332151179
12178a32313816
138b326860802
144321860221c
1521bcbe0ca90
hex11c8c292dd2

1222122221010 has 96 divisors (see below), whose sum is σ = 3216834045360. Its totient is φ = 321882624000.

The previous prime is 1222122220967. The next prime is 1222122221027. The reversal of 1222122221010 is 101222212221.

It is a happy number.

1222122221010 is a `hidden beast` number, since 1 + 2 + 221 + 222 + 210 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1038998991969 + 183123229041 = 1019313^2 + 427929^2 .

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 47 ways as a sum of consecutive naturals, for example, 3553450 + ... + 3882170.

Almost surely, 21222122221010 is an apocalyptic number.

1222122221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222122221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608417022680).

1222122221010 is an abundant number, since it is smaller than the sum of its proper divisors (1994711824350).

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

1222122221010 is a wasteful number, since it uses less digits than its factorization.

1222122221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329244 (or 329241 counting only the distinct ones).

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

Adding to 1222122221010 its reverse (101222212221), we get a palindrome (1323344433231).

The spelling of 1222122221010 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 409 505 606 818 909 1010 1227 1515 1818 2045 2454 3030 3681 4090 4545 6135 7362 9090 12270 18405 36810 41309 82618 123927 206545 247854 328721 371781 413090 619635 657442 743562 986163 1239270 1643605 1858905 1972326 2958489 3287210 3717810 4930815 5916978 9861630 14792445 29584890 33200821 66401642 99602463 134446889 166004105 199204926 268893778 298807389 332008210 403340667 498012315 597614778 672234445 806681334 996024630 1210022001 1344468890 1494036945 2016703335 2420044002 2988073890 4033406670 6050110005 12100220010 13579135789 27158271578 40737407367 67895678945 81474814734 122212222101 135791357890 203687036835 244424444202 407374073670 611061110505 1222122221010