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1201312240002 = 233731805912721
BaseRepresentation
bin10001011110110011110…
…010100001000110000010
311020211210111220210212000
4101132303302201012002
5124140241413140002
62315513014244430
7152535431362440
oct21366362410602
94224714823760
101201312240002
11423523494466
121749a5056716
138938b419c94
1442202913b90
15213aeee761c
hex117b3ca1182

1201312240002 has 128 divisors (see below), whose sum is σ = 3150007910400. Its totient is φ = 332092742400.

The previous prime is 1201312239997. The next prime is 1201312240021. The reversal of 1201312240002 is 2000422131021.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 94429002 + ... + 94441722.

It is an arithmetic number, because the mean of its divisors is an integer number (24609436800).

Almost surely, 21201312240002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201312240002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575003955200).

1201312240002 is an abundant number, since it is smaller than the sum of its proper divisors (1948695670398).

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

1201312240002 is a wasteful number, since it uses less digits than its factorization.

1201312240002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20829 (or 20823 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1201312240002 its reverse (2000422131021), we get a palindrome (3201734371023).

The spelling of 1201312240002 in words is "one trillion, two hundred one billion, three hundred twelve million, two hundred forty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 8059 11718 12721 16118 24177 25442 38163 48354 56413 72531 76326 89047 112826 114489 145062 169239 178094 217593 228978 249829 267141 338478 343467 394351 435186 499658 507717 534282 686934 749487 788702 801423 1015434 1183053 1498974 1523151 1602846 1748803 2248461 2366106 2404269 2760457 3046302 3497606 3549159 4496922 4808538 5246409 5520914 6745383 7098318 8281371 10492818 10647477 13490766 15739227 16562742 21294954 24844113 31478454 47217681 49688226 74532339 94435362 102518539 149064678 205037078 307555617 615111234 717629773 922666851 1435259546 1845333702 2152889319 2768000553 3178074709 4305778638 5536001106 6356149418 6458667957 9534224127 12917335914 19068448254 19376003871 22246522963 28602672381 38752007742 44493045926 57205344762 66739568889 85808017143 133479137778 171616034286 200218706667 400437413334 600656120001 1201312240002