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122201202099968 = 2822731738917053
BaseRepresentation
bin11011110010010000101111…
…001111100000011100000000
3121000200022122212212120112222
4123302100233033200130000
5112004121030214144333
61111522242433110212
734511513464261655
oct3362205717403400
9530608585776488
10122201202099968
1135a34269896742
12118574b33b8368
1353256a705b464
1422267d9519c2c
15e1db013aa298
hex6f242f3e0700

122201202099968 has 144 divisors (see below), whose sum is σ = 246418740116640. Its totient is φ = 60480105627648.

The previous prime is 122201202099931. The next prime is 122201202099983. The reversal of 122201202099968 is 869990202102221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7165956530 + ... + 7165973582.

It is an arithmetic number, because the mean of its divisors is an integer number (1711241250810).

Almost surely, 2122201202099968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201202099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123209370058320).

122201202099968 is an abundant number, since it is smaller than the sum of its proper divisors (124217538016672).

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

122201202099968 is a wasteful number, since it uses less digits than its factorization.

122201202099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002 (or 17988 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 122201202099968 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred two million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 227 256 317 389 454 634 778 908 1268 1556 1816 2536 3112 3632 5072 6224 7264 10144 12448 14528 17053 20288 24896 29056 34106 40576 49792 58112 68212 71959 81152 88303 99584 123313 136424 143918 176606 246626 272848 287836 353212 493252 545696 575672 706424 986504 1091392 1151344 1412848 1973008 2182784 2302688 2825696 3871031 3946016 4365568 4605376 5405801 5651392 6633617 7742062 7892032 9210752 10811602 11302784 13267234 15484124 15784064 18421504 21623204 22605568 26534468 27992051 30968248 31568128 43246408 53068936 55984102 61936496 86492816 106137872 111968204 123872992 172985632 212275744 223936408 247745984 345971264 424551488 447872816 495491968 691942528 849102976 895745632 990983936 1227116827 1383885056 1505831059 1698205952 1791491264 2102856589 2454233654 3011662118 3582982528 4205713178 4908467308 6023324236 7165965056 8411426356 9816934616 12046648472 16822852712 19633869232 24093296944 33645705424 39267738464 48186593888 67291410848 78535476928 96373187776 134582821696 157070953856 192746375552 269165643392 314141907712 385492751104 477348445703 538331286784 954696891406 1909393782812 3818787565624 7637575131248 15275150262496 30550300524992 61100601049984 122201202099968