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2122020112002 = 237227749153069
BaseRepresentation
bin11110111000010010010…
…000010100011010000010
321111212022020012210011120
4132320102100110122002
5234231344122041002
64302501555253110
7306211431225600
oct36702220243202
97455266183146
102122020112002
11748a42039a5a
122a33182aa196
1312514b11818b
14749c6208870
153a2ea4b9cbc
hex1ee12414682

2122020112002 has 96 divisors (see below), whose sum is σ = 4964952386880. Its totient is φ = 602860970880.

The previous prime is 2122020112001. The next prime is 2122020112027. The reversal of 2122020112002 is 2002110202212.

It is not an unprimeable number, because it can be changed into a prime (2122020112001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39959524 + ... + 40012592.

It is an arithmetic number, because the mean of its divisors is an integer number (51718254030).

Almost surely, 22122020112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122020112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482476193440).

2122020112002 is an abundant number, since it is smaller than the sum of its proper divisors (2842932274878).

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

2122020112002 is a wasteful number, since it uses less digits than its factorization.

2122020112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53856 (or 53849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122020112002 its reverse (2002110202212), we get a palindrome (4124130314214).

The spelling of 2122020112002 in words is "two trillion, one hundred twenty-two billion, twenty million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 277 294 491 554 831 982 1473 1662 1939 2946 3437 3878 5817 6874 10311 11634 13573 20622 24059 27146 40719 48118 53069 72177 81438 106138 136007 144354 159207 272014 318414 371483 408021 742966 816042 952049 1114449 1904098 2228898 2600381 2856147 5200762 5712294 6664343 7801143 13328686 14700113 15602286 19993029 26056879 29400226 39986058 44100339 52113758 78170637 88200678 102900791 156341274 182398153 205801582 308702373 364796306 547194459 617404746 720305537 1094388918 1276787071 1440611074 2160916611 2553574142 3830361213 4321833222 7217755483 7660722426 14435510966 21653266449 43306532898 50524288381 101048576762 151572865143 303145730286 353670018667 707340037334 1061010056001 2122020112002