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1210121130972 = 2231313774376207
BaseRepresentation
bin10001100111000000110…
…101110001001111011100
311021200112102101211120010
4101213000311301033130
5124311312002142342
62323531051323220
7153266633616345
oct21470065611734
94250472354503
101210121130972
11427233915646
12176643150510
138a163406ac0
14427da7bd0cc
152172852429c
hex119c0d713dc

1210121130972 has 96 divisors (see below), whose sum is σ = 3067175688192. Its totient is φ = 369124793856.

The previous prime is 1210121130971. The next prime is 1210121131147. The reversal of 1210121130972 is 2790311210121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210121130971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15841293 + ... + 15917499.

It is an arithmetic number, because the mean of its divisors is an integer number (31949746752).

Almost surely, 21210121130972 is an apocalyptic number.

1210121130972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210121130972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533587844096).

1210121130972 is an abundant number, since it is smaller than the sum of its proper divisors (1857054557220).

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

1210121130972 is a wasteful number, since it uses less digits than its factorization.

1210121130972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77107 (or 77105 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 1210121130972 in words is "one trillion, two hundred ten billion, one hundred twenty-one million, one hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 743 822 1486 1644 1781 2229 2972 3562 4458 5343 7124 8916 9659 10686 19318 21372 28977 38636 57954 76207 101791 115908 152414 203582 228621 304828 305373 407164 457242 610746 914484 990691 1221492 1323283 1981382 2646566 2972073 3962764 3969849 5293132 5944146 7939698 10440359 11888292 15879396 20880718 31321077 41761436 56621801 62642154 113243602 125284308 135724667 169865403 226487204 271449334 339730806 407174001 542898668 679461612 736083413 814348002 1472166826 1628696004 2208250239 2944333652 4416500478 7757186737 8833000956 15514373474 23271560211 31028746948 46543120422 93086240844 100843427581 201686855162 302530282743 403373710324 605060565486 1210121130972