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1234221221142 = 2327131789421181
BaseRepresentation
bin10001111101011101010…
…100010100010100010110
311100222201222222021011100
4101331131110110110112
5130210141113034032
62342554324050530
7155112103166040
oct21753524242426
94328658867140
101234221221142
11436480781038
1217b24a233a46
138c5043789a0
1443a45430a90
15221891d697c
hex11f5d514516

1234221221142 has 96 divisors (see below), whose sum is σ = 3293104127040. Its totient is φ = 325326170880.

The previous prime is 1234221221071. The next prime is 1234221221143. The reversal of 1234221221142 is 2411221224321.

1234221221142 is a `hidden beast` number, since 1 + 2 + 3 + 422 + 1 + 221 + 14 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234221221143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2719792 + ... + 3140972.

It is an arithmetic number, because the mean of its divisors is an integer number (34303167990).

Almost surely, 21234221221142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234221221142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646552063520).

1234221221142 is an abundant number, since it is smaller than the sum of its proper divisors (2058882905898).

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

1234221221142 is a wasteful number, since it uses less digits than its factorization.

1234221221142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422998 (or 422995 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 1234221221142 its reverse (2411221224321), we get a palindrome (3645442445463).

The spelling of 1234221221142 in words is "one trillion, two hundred thirty-four billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 1789 3578 5367 10734 12523 16101 23257 25046 32202 37569 46514 69771 75138 112707 139542 162799 209313 225414 325598 418626 421181 488397 842362 976794 1263543 1465191 2527086 2930382 2948267 3790629 5475353 5896534 7581258 8844801 10950706 16426059 17689602 26534403 32852118 38327471 49278177 53068806 76654942 98556354 114982413 229964826 344947239 689894478 753492809 1506985618 2260478427 4520956854 5274449663 6781435281 9795406517 10548899326 13562870562 15823348989 19590813034 29386219551 31646697978 47470046967 58772439102 68567845619 88158658653 94940093934 137135691238 176317317306 205703536857 411407073714 617110610571 1234221221142