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1211231422401 = 37111313714919759
BaseRepresentation
bin10001101000000011000…
…001001100011111000001
311021210101210121111001220
4101220003001030133001
5124321100221004101
62324233152545253
7153336305134530
oct21500301143701
94253353544056
101211231422401
11427753619a70
121768b2b52229
138a2ac44bb90
14428a403a317
1521790c3e636
hex11a0304c7c1

1211231422401 has 128 divisors (see below), whose sum is σ = 2198956032000. Its totient is φ = 572672194560.

The previous prime is 1211231422343. The next prime is 1211231422403. The reversal of 1211231422401 is 1042241321121.

It is not a de Polignac number, because 1211231422401 - 26 = 1211231422337 is a prime.

It is a super-2 number, since 2×12112314224012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211231422403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61290360 + ... + 61310118.

It is an arithmetic number, because the mean of its divisors is an integer number (17179344000).

Almost surely, 21211231422401 is an apocalyptic number.

1211231422401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211231422401 is a deficient number, since it is larger than the sum of its proper divisors (987724609599).

1211231422401 is a wasteful number, since it uses less digits than its factorization.

1211231422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20079.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1211231422401 its reverse (1042241321121), we get a palindrome (2253472743522).

The spelling of 1211231422401 in words is "one trillion, two hundred eleven billion, two hundred thirty-one million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 137 143 149 231 273 411 429 447 959 1001 1043 1507 1639 1781 1937 2877 3003 3129 4521 4917 5343 5811 10549 11473 12467 13559 19591 19759 20413 21307 31647 34419 37401 40677 58773 59277 61239 63921 137137 138313 142891 149149 217349 224543 256867 265369 411411 414939 428673 447447 652047 673629 770601 796107 1521443 1571801 1798069 1857583 2706983 2825537 2919059 2944091 4564329 4715403 5394207 5572749 8120949 8476611 8757177 8832273 18948881 19778759 20433413 20608637 29776813 32385001 35190779 38273183 56846643 59336277 61300239 61825911 89330439 97155003 105572337 114819549 208437691 226695007 246335453 267912281 387098569 403340467 421005013 625313073 680085021 739006359 803736843 1161295707 1210021401 1263015039 2709689983 2823383269 2947035091 4436745137 5243426071 8129069949 8470149807 8841105273 13310235411 15730278213 31057215959 36703982497 57677686781 93171647877 110111947491 173033060343 403743807467 1211231422401