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1112012001210 = 2351111341971171
BaseRepresentation
bin10000001011101001000…
…101001000111110111010
310221022022000202122122110
4100023221011020332322
5121204400033014320
62210503512233150
7143224460024145
oct20135105107672
93838260678573
101112012001210
1139966886a320
1215b62269b7b6
1380b295824b6
143bb7092b05c
151ddd52e25e0
hex102e9148fba

1112012001210 has 128 divisors (see below), whose sum is σ = 2944266071040. Its totient is φ = 266551577600.

The previous prime is 1112012001197. The next prime is 1112012001229. The reversal of 1112012001210 is 121002102111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15588925 + ... + 15660095.

It is an arithmetic number, because the mean of its divisors is an integer number (23002078680).

Almost surely, 21112012001210 is an apocalyptic number.

1112012001210 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 1112012001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472133035520).

1112012001210 is an abundant number, since it is smaller than the sum of its proper divisors (1832254069830).

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

1112012001210 is a wasteful number, since it uses less digits than its factorization.

1112012001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71724.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1112012001210 its reverse (121002102111), we get a palindrome (1233014103321).

The spelling of 1112012001210 in words is "one trillion, one hundred twelve billion, twelve million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 226 330 339 419 565 678 838 1130 1243 1257 1695 2095 2486 2514 3390 3729 4190 4609 6215 6285 7458 9218 12430 12570 13827 18645 23045 27654 37290 46090 47347 69135 71171 94694 138270 142041 142342 213513 236735 284082 355855 427026 473470 520817 710205 711710 782881 1041634 1067565 1420410 1562451 1565762 2135130 2348643 2604085 3124902 3914405 4697286 5208170 7812255 7828810 8042323 11743215 15624510 16084646 23486430 24126969 29820649 40211615 48253938 59641298 80423230 88465553 89461947 120634845 149103245 176931106 178923894 241269690 265396659 298206490 328027139 442327765 447309735 530793318 656054278 884655530 894619470 984081417 1326983295 1640135695 1968162834 2653966590 3280271390 3369733337 4920407085 6739466674 9840814170 10109200011 16848666685 20218400022 33697333370 37067066707 50546000055 74134133414 101092000110 111201200121 185335333535 222402400242 370670667070 556006000605 1112012001210